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Finding the Fourth Proportional to 83,006.64, 114,548.68 and 45,280.88

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Solution

The fourth proportional to 83,006.64, 114,548.68 and 45,280.88 is: 62,487.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,006.64 : 114,548.68 = 45,280.88 : x
  2. Step 2: Convert to fraction form
    83,006.64/114,548.68 = 45,280.88/x
  3. Step 3: Cross multiply
    83,006.64x = 114,548.68 × 45,280.88
  4. Step 4: Simplify right side
    83,006.64x = 5,186,865,033.24
  5. Step 5: Solve for x
    x = 5,186,865,033.24/83,006.64
  6. Step 6: Final answer
    x = 62,487.35

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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.