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Finding the Fourth Proportional to 66,716.48, 100,123.92 and 31,656.32

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Solution

The fourth proportional to 66,716.48, 100,123.92 and 31,656.32 is: 47,507.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,716.48 : 100,123.92 = 31,656.32 : x
  2. Step 2: Convert to fraction form
    66,716.48/100,123.92 = 31,656.32/x
  3. Step 3: Cross multiply
    66,716.48x = 100,123.92 × 31,656.32
  4. Step 4: Simplify right side
    66,716.48x = 3,169,554,851.17
  5. Step 5: Solve for x
    x = 3,169,554,851.17/66,716.48
  6. Step 6: Final answer
    x = 47,507.82

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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.