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Finding the Fourth Proportional to 77,654.38, 106,898.59 and 57,473.23

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Solution

The fourth proportional to 77,654.38, 106,898.59 and 57,473.23 is: 79,117.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,654.38 : 106,898.59 = 57,473.23 : x
  2. Step 2: Convert to fraction form
    77,654.38/106,898.59 = 57,473.23/x
  3. Step 3: Cross multiply
    77,654.38x = 106,898.59 × 57,473.23
  4. Step 4: Simplify right side
    77,654.38x = 6,143,807,249.75
  5. Step 5: Solve for x
    x = 6,143,807,249.75/77,654.38
  6. Step 6: Final answer
    x = 79,117.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.