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Finding the Fourth Proportional to 97,443.42, 145,742.82 and 57,366.90

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Solution

The fourth proportional to 97,443.42, 145,742.82 and 57,366.90 is: 85,801.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,443.42 : 145,742.82 = 57,366.90 : x
  2. Step 2: Convert to fraction form
    97,443.42/145,742.82 = 57,366.90/x
  3. Step 3: Cross multiply
    97,443.42x = 145,742.82 × 57,366.90
  4. Step 4: Simplify right side
    97,443.42x = 8,360,813,780.66
  5. Step 5: Solve for x
    x = 8,360,813,780.66/97,443.42
  6. Step 6: Final answer
    x = 85,801.73

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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.