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Finding the Fourth Proportional to 83,073, 124,609.50 and 24,705

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Solution

The fourth proportional to 83,073, 124,609.50 and 24,705 is: 37,057.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,073 : 124,609.50 = 24,705 : x
  2. Step 2: Convert to fraction form
    83,073/124,609.50 = 24,705/x
  3. Step 3: Cross multiply
    83,073x = 124,609.50 × 24,705
  4. Step 4: Simplify right side
    83,073x = 3,078,477,697.50
  5. Step 5: Solve for x
    x = 3,078,477,697.50/83,073
  6. Step 6: Final answer
    x = 37,057.50

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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.