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Finding the Fourth Proportional to 125,202.44, 187,810.50 and 31,709

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Solution

The fourth proportional to 125,202.44, 187,810.50 and 31,709 is: 47,565.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,202.44 : 187,810.50 = 31,709 : x
  2. Step 2: Convert to fraction form
    125,202.44/187,810.50 = 31,709/x
  3. Step 3: Cross multiply
    125,202.44x = 187,810.50 × 31,709
  4. Step 4: Simplify right side
    125,202.44x = 5,955,283,144.50
  5. Step 5: Solve for x
    x = 5,955,283,144.50/125,202.44
  6. Step 6: Final answer
    x = 47,565.23

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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.