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Finding the Fourth Proportional to 77,784.79, 107,311.08 and 57,691.12

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Solution

The fourth proportional to 77,784.79, 107,311.08 and 57,691.12 is: 79,590.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,784.79 : 107,311.08 = 57,691.12 : x
  2. Step 2: Convert to fraction form
    77,784.79/107,311.08 = 57,691.12/x
  3. Step 3: Cross multiply
    77,784.79x = 107,311.08 × 57,691.12
  4. Step 4: Simplify right side
    77,784.79x = 6,190,896,393.61
  5. Step 5: Solve for x
    x = 6,190,896,393.61/77,784.79
  6. Step 6: Final answer
    x = 79,590.06

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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.