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Finding the Fourth Proportional to 97,344.60, 145,725.30 and 57,881.40

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Solution

The fourth proportional to 97,344.60, 145,725.30 and 57,881.40 is: 86,648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,344.60 : 145,725.30 = 57,881.40 : x
  2. Step 2: Convert to fraction form
    97,344.60/145,725.30 = 57,881.40/x
  3. Step 3: Cross multiply
    97,344.60x = 145,725.30 × 57,881.40
  4. Step 4: Simplify right side
    97,344.60x = 8,434,784,379.42
  5. Step 5: Solve for x
    x = 8,434,784,379.42/97,344.60
  6. Step 6: Final answer
    x = 86,648.71

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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.