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Finding the Fourth Proportional to 38,511.48, 57,762.84 and 10,429.92

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Solution

The fourth proportional to 38,511.48, 57,762.84 and 10,429.92 is: 15,643.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,511.48 : 57,762.84 = 10,429.92 : x
  2. Step 2: Convert to fraction form
    38,511.48/57,762.84 = 10,429.92/x
  3. Step 3: Cross multiply
    38,511.48x = 57,762.84 × 10,429.92
  4. Step 4: Simplify right side
    38,511.48x = 602,461,800.17
  5. Step 5: Solve for x
    x = 602,461,800.17/38,511.48
  6. Step 6: Final answer
    x = 15,643.69

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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.