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Finding the Fourth Proportional to 77,505.27, 116,268.84 and 24,897.12

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Solution

The fourth proportional to 77,505.27, 116,268.84 and 24,897.12 is: 37,349.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,505.27 : 116,268.84 = 24,897.12 : x
  2. Step 2: Convert to fraction form
    77,505.27/116,268.84 = 24,897.12/x
  3. Step 3: Cross multiply
    77,505.27x = 116,268.84 × 24,897.12
  4. Step 4: Simplify right side
    77,505.27x = 2,894,759,261.74
  5. Step 5: Solve for x
    x = 2,894,759,261.74/77,505.27
  6. Step 6: Final answer
    x = 37,349.19

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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.