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Finding the Fourth Proportional to 83,006.48, 114,549 and 45,282.80

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Solution

The fourth proportional to 83,006.48, 114,549 and 45,282.80 is: 62,490.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,006.48 : 114,549 = 45,282.80 : x
  2. Step 2: Convert to fraction form
    83,006.48/114,549 = 45,282.80/x
  3. Step 3: Cross multiply
    83,006.48x = 114,549 × 45,282.80
  4. Step 4: Simplify right side
    83,006.48x = 5,187,099,457.20
  5. Step 5: Solve for x
    x = 5,187,099,457.20/83,006.48
  6. Step 6: Final answer
    x = 62,490.30

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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.