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Finding the Fourth Proportional to 83,357, 125,035.50 and 24,989

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Solution

The fourth proportional to 83,357, 125,035.50 and 24,989 is: 37,483.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,357 : 125,035.50 = 24,989 : x
  2. Step 2: Convert to fraction form
    83,357/125,035.50 = 24,989/x
  3. Step 3: Cross multiply
    83,357x = 125,035.50 × 24,989
  4. Step 4: Simplify right side
    83,357x = 3,124,512,109.50
  5. Step 5: Solve for x
    x = 3,124,512,109.50/83,357
  6. Step 6: Final answer
    x = 37,483.50

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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.