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Finding the Fourth Proportional to 56,374.10, 77,766.77 and 34,856.97

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Solution

The fourth proportional to 56,374.10, 77,766.77 and 34,856.97 is: 48,084.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,374.10 : 77,766.77 = 34,856.97 : x
  2. Step 2: Convert to fraction form
    56,374.10/77,766.77 = 34,856.97/x
  3. Step 3: Cross multiply
    56,374.10x = 77,766.77 × 34,856.97
  4. Step 4: Simplify right side
    56,374.10x = 2,710,713,794.60
  5. Step 5: Solve for x
    x = 2,710,713,794.60/56,374.10
  6. Step 6: Final answer
    x = 48,084.38

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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.