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Finding the Fourth Proportional to 83,856.40, 125,784.60 and 58,924.60

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Solution

The fourth proportional to 83,856.40, 125,784.60 and 58,924.60 is: 88,386.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,856.40 : 125,784.60 = 58,924.60 : x
  2. Step 2: Convert to fraction form
    83,856.40/125,784.60 = 58,924.60/x
  3. Step 3: Cross multiply
    83,856.40x = 125,784.60 × 58,924.60
  4. Step 4: Simplify right side
    83,856.40x = 7,411,807,241.16
  5. Step 5: Solve for x
    x = 7,411,807,241.16/83,856.40
  6. Step 6: Final answer
    x = 88,386.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.