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Finding the Fourth Proportional to 32,642,392.80, 48,965,432.40 and 9,924,031.20

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Solution

The fourth proportional to 32,642,392.80, 48,965,432.40 and 9,924,031.20 is: 14,886,607.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,642,392.80 : 48,965,432.40 = 9,924,031.20 : x
  2. Step 2: Convert to fraction form
    32,642,392.80/48,965,432.40 = 9,924,031.20/x
  3. Step 3: Cross multiply
    32,642,392.80x = 48,965,432.40 × 9,924,031.20
  4. Step 4: Simplify right side
    32,642,392.80x = 485,934,478,859,090.81
  5. Step 5: Solve for x
    x = 485,934,478,859,090.81/32,642,392.80
  6. Step 6: Final answer
    x = 14,886,607.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.