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Finding the Fourth Proportional to 32,475.16, 48,714.15 and 10,290.17

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Solution

The fourth proportional to 32,475.16, 48,714.15 and 10,290.17 is: 15,435.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,475.16 : 48,714.15 = 10,290.17 : x
  2. Step 2: Convert to fraction form
    32,475.16/48,714.15 = 10,290.17/x
  3. Step 3: Cross multiply
    32,475.16x = 48,714.15 × 10,290.17
  4. Step 4: Simplify right side
    32,475.16x = 501,276,801.71
  5. Step 5: Solve for x
    x = 501,276,801.71/32,475.16
  6. Step 6: Final answer
    x = 15,435.70

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