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Finding the Fourth Proportional to 101,666.94, 152,519.60 and 38,505.98

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Solution

The fourth proportional to 101,666.94, 152,519.60 and 38,505.98 is: 57,766.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,666.94 : 152,519.60 = 38,505.98 : x
  2. Step 2: Convert to fraction form
    101,666.94/152,519.60 = 38,505.98/x
  3. Step 3: Cross multiply
    101,666.94x = 152,519.60 × 38,505.98
  4. Step 4: Simplify right side
    101,666.94x = 5,872,915,904.61
  5. Step 5: Solve for x
    x = 5,872,915,904.61/101,666.94
  6. Step 6: Final answer
    x = 57,766.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.