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Finding the Fourth Proportional to 38,537.57, 57,810.21 and 10,458.08

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Solution

The fourth proportional to 38,537.57, 57,810.21 and 10,458.08 is: 15,688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,537.57 : 57,810.21 = 10,458.08 : x
  2. Step 2: Convert to fraction form
    38,537.57/57,810.21 = 10,458.08/x
  3. Step 3: Cross multiply
    38,537.57x = 57,810.21 × 10,458.08
  4. Step 4: Simplify right side
    38,537.57x = 604,583,689.52
  5. Step 5: Solve for x
    x = 604,583,689.52/38,537.57
  6. Step 6: Final answer
    x = 15,688.16

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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.