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Finding the Fourth Proportional to 83,073.45, 114,642.57 and 47,262.69

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Solution

The fourth proportional to 83,073.45, 114,642.57 and 47,262.69 is: 65,223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,073.45 : 114,642.57 = 47,262.69 : x
  2. Step 2: Convert to fraction form
    83,073.45/114,642.57 = 47,262.69/x
  3. Step 3: Cross multiply
    83,073.45x = 114,642.57 × 47,262.69
  4. Step 4: Simplify right side
    83,073.45x = 5,418,316,246.71
  5. Step 5: Solve for x
    x = 5,418,316,246.71/83,073.45
  6. Step 6: Final answer
    x = 65,223.20

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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.