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Finding the Fourth Proportional to 105,177.34, 157,672.22 and 38,602.02

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Solution

The fourth proportional to 105,177.34, 157,672.22 and 38,602.02 is: 57,868.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,177.34 : 157,672.22 = 38,602.02 : x
  2. Step 2: Convert to fraction form
    105,177.34/157,672.22 = 38,602.02/x
  3. Step 3: Cross multiply
    105,177.34x = 157,672.22 × 38,602.02
  4. Step 4: Simplify right side
    105,177.34x = 6,086,465,918.38
  5. Step 5: Solve for x
    x = 6,086,465,918.38/105,177.34
  6. Step 6: Final answer
    x = 57,868.61

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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.