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Finding the Fourth Proportional to 83,355, 125,032.50 and 24,987

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Solution

The fourth proportional to 83,355, 125,032.50 and 24,987 is: 37,480.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,355 : 125,032.50 = 24,987 : x
  2. Step 2: Convert to fraction form
    83,355/125,032.50 = 24,987/x
  3. Step 3: Cross multiply
    83,355x = 125,032.50 × 24,987
  4. Step 4: Simplify right side
    83,355x = 3,124,187,077.50
  5. Step 5: Solve for x
    x = 3,124,187,077.50/83,355
  6. Step 6: Final answer
    x = 37,480.50

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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.