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Finding the Fourth Proportional to 101,603.56, 152,349.66 and 31,463.40

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Solution

The fourth proportional to 101,603.56, 152,349.66 and 31,463.40 is: 47,177.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,603.56 : 152,349.66 = 31,463.40 : x
  2. Step 2: Convert to fraction form
    101,603.56/152,349.66 = 31,463.40/x
  3. Step 3: Cross multiply
    101,603.56x = 152,349.66 × 31,463.40
  4. Step 4: Simplify right side
    101,603.56x = 4,793,438,292.44
  5. Step 5: Solve for x
    x = 4,793,438,292.44/101,603.56
  6. Step 6: Final answer
    x = 47,177.86

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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.