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Finding the Fourth Proportional to 32,642,384.80, 48,965,420.40 and 9,924,023.20

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Solution

The fourth proportional to 32,642,384.80, 48,965,420.40 and 9,924,023.20 is: 14,886,595.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,642,384.80 : 48,965,420.40 = 9,924,023.20 : x
  2. Step 2: Convert to fraction form
    32,642,384.80/48,965,420.40 = 9,924,023.20/x
  3. Step 3: Cross multiply
    32,642,384.80x = 48,965,420.40 × 9,924,023.20
  4. Step 4: Simplify right side
    32,642,384.80x = 485,933,968,047,353.25
  5. Step 5: Solve for x
    x = 485,933,968,047,353.25/32,642,384.80
  6. Step 6: Final answer
    x = 14,886,595.17

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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.