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Finding the Fourth Proportional to 83,218.88, 114,850 and 45,498.80

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Solution

The fourth proportional to 83,218.88, 114,850 and 45,498.80 is: 62,792.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,218.88 : 114,850 = 45,498.80 : x
  2. Step 2: Convert to fraction form
    83,218.88/114,850 = 45,498.80/x
  3. Step 3: Cross multiply
    83,218.88x = 114,850 × 45,498.80
  4. Step 4: Simplify right side
    83,218.88x = 5,225,537,180
  5. Step 5: Solve for x
    x = 5,225,537,180/83,218.88
  6. Step 6: Final answer
    x = 62,792.69

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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.