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Finding the Fourth Proportional to 84,407.69, 116,505.65 and 52,557.77

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Solution

The fourth proportional to 84,407.69, 116,505.65 and 52,557.77 is: 72,544.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,407.69 : 116,505.65 = 52,557.77 : x
  2. Step 2: Convert to fraction form
    84,407.69/116,505.65 = 52,557.77/x
  3. Step 3: Cross multiply
    84,407.69x = 116,505.65 × 52,557.77
  4. Step 4: Simplify right side
    84,407.69x = 6,123,276,893.61
  5. Step 5: Solve for x
    x = 6,123,276,893.61/84,407.69
  6. Step 6: Final answer
    x = 72,544.06

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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.