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Finding the Fourth Proportional to 32,460.49, 48,698.03 and 10,275.20

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Solution

The fourth proportional to 32,460.49, 48,698.03 and 10,275.20 is: 15,415.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,460.49 : 48,698.03 = 10,275.20 : x
  2. Step 2: Convert to fraction form
    32,460.49/48,698.03 = 10,275.20/x
  3. Step 3: Cross multiply
    32,460.49x = 48,698.03 × 10,275.20
  4. Step 4: Simplify right side
    32,460.49x = 500,381,962.67
  5. Step 5: Solve for x
    x = 500,381,962.67/32,460.49
  6. Step 6: Final answer
    x = 15,415.11

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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.