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Finding the Fourth Proportional to 83,232.72, 114,868.98 and 45,512.64

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Solution

The fourth proportional to 83,232.72, 114,868.98 and 45,512.64 is: 62,811.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,232.72 : 114,868.98 = 45,512.64 : x
  2. Step 2: Convert to fraction form
    83,232.72/114,868.98 = 45,512.64/x
  3. Step 3: Cross multiply
    83,232.72x = 114,868.98 × 45,512.64
  4. Step 4: Simplify right side
    83,232.72x = 5,227,990,533.91
  5. Step 5: Solve for x
    x = 5,227,990,533.91/83,232.72
  6. Step 6: Final answer
    x = 62,811.72

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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.