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Finding the Fourth Proportional to 77,513.76, 116,243.28 and 24,905.49

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Solution

The fourth proportional to 77,513.76, 116,243.28 and 24,905.49 is: 37,349.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,513.76 : 116,243.28 = 24,905.49 : x
  2. Step 2: Convert to fraction form
    77,513.76/116,243.28 = 24,905.49/x
  3. Step 3: Cross multiply
    77,513.76x = 116,243.28 × 24,905.49
  4. Step 4: Simplify right side
    77,513.76x = 2,895,095,847.61
  5. Step 5: Solve for x
    x = 2,895,095,847.61/77,513.76
  6. Step 6: Final answer
    x = 37,349.44

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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.