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Finding the Fourth Proportional to 83,353, 125,029.50 and 24,985

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Solution

The fourth proportional to 83,353, 125,029.50 and 24,985 is: 37,477.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,353 : 125,029.50 = 24,985 : x
  2. Step 2: Convert to fraction form
    83,353/125,029.50 = 24,985/x
  3. Step 3: Cross multiply
    83,353x = 125,029.50 × 24,985
  4. Step 4: Simplify right side
    83,353x = 3,123,862,057.50
  5. Step 5: Solve for x
    x = 3,123,862,057.50/83,353
  6. Step 6: Final answer
    x = 37,477.50

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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.