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Finding the Fourth Proportional to 83,089.47, 114,662.88 and 45,363.72

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Solution

The fourth proportional to 83,089.47, 114,662.88 and 45,363.72 is: 62,601.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,089.47 : 114,662.88 = 45,363.72 : x
  2. Step 2: Convert to fraction form
    83,089.47/114,662.88 = 45,363.72/x
  3. Step 3: Cross multiply
    83,089.47x = 114,662.88 × 45,363.72
  4. Step 4: Simplify right side
    83,089.47x = 5,201,535,212.70
  5. Step 5: Solve for x
    x = 5,201,535,212.70/83,089.47
  6. Step 6: Final answer
    x = 62,601.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.