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Finding the Fourth Proportional to 76,127.34, 114,223.68 and 29,413.02

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Solution

The fourth proportional to 76,127.34, 114,223.68 and 29,413.02 is: 44,132.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,127.34 : 114,223.68 = 29,413.02 : x
  2. Step 2: Convert to fraction form
    76,127.34/114,223.68 = 29,413.02/x
  3. Step 3: Cross multiply
    76,127.34x = 114,223.68 × 29,413.02
  4. Step 4: Simplify right side
    76,127.34x = 3,359,663,384.31
  5. Step 5: Solve for x
    x = 3,359,663,384.31/76,127.34
  6. Step 6: Final answer
    x = 44,132.15

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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.