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Finding the Fourth Proportional to 103,085.60, 154,652.70 and 32,965.52

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Solution

The fourth proportional to 103,085.60, 154,652.70 and 32,965.52 is: 49,456.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,085.60 : 154,652.70 = 32,965.52 : x
  2. Step 2: Convert to fraction form
    103,085.60/154,652.70 = 32,965.52/x
  3. Step 3: Cross multiply
    103,085.60x = 154,652.70 × 32,965.52
  4. Step 4: Simplify right side
    103,085.60x = 5,098,206,674.90
  5. Step 5: Solve for x
    x = 5,098,206,674.90/103,085.60
  6. Step 6: Final answer
    x = 49,456.05

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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.