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Finding the Fourth Proportional to 77,858, 107,444.04 and 42,530

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Solution

The fourth proportional to 77,858, 107,444.04 and 42,530 is: 58,691.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,858 : 107,444.04 = 42,530 : x
  2. Step 2: Convert to fraction form
    77,858/107,444.04 = 42,530/x
  3. Step 3: Cross multiply
    77,858x = 107,444.04 × 42,530
  4. Step 4: Simplify right side
    77,858x = 4,569,595,021.20
  5. Step 5: Solve for x
    x = 4,569,595,021.20/77,858
  6. Step 6: Final answer
    x = 58,691.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.