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Finding the Fourth Proportional to 77,713.20, 107,283.24 and 45,892.08

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Solution

The fourth proportional to 77,713.20, 107,283.24 and 45,892.08 is: 63,354.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,713.20 : 107,283.24 = 45,892.08 : x
  2. Step 2: Convert to fraction form
    77,713.20/107,283.24 = 45,892.08/x
  3. Step 3: Cross multiply
    77,713.20x = 107,283.24 × 45,892.08
  4. Step 4: Simplify right side
    77,713.20x = 4,923,451,032.74
  5. Step 5: Solve for x
    x = 4,923,451,032.74/77,713.20
  6. Step 6: Final answer
    x = 63,354.12

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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.