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Finding the Fourth Proportional to 77,333.97, 106,715.82 and 45,496.71

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Solution

The fourth proportional to 77,333.97, 106,715.82 and 45,496.71 is: 62,782.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,333.97 : 106,715.82 = 45,496.71 : x
  2. Step 2: Convert to fraction form
    77,333.97/106,715.82 = 45,496.71/x
  3. Step 3: Cross multiply
    77,333.97x = 106,715.82 × 45,496.71
  4. Step 4: Simplify right side
    77,333.97x = 4,855,218,714.95
  5. Step 5: Solve for x
    x = 4,855,218,714.95/77,333.97
  6. Step 6: Final answer
    x = 62,782.48

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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.