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Finding the Fourth Proportional to 65,167.70, 97,870.35 and 57,002.90

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Solution

The fourth proportional to 65,167.70, 97,870.35 and 57,002.90 is: 85,608.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,167.70 : 97,870.35 = 57,002.90 : x
  2. Step 2: Convert to fraction form
    65,167.70/97,870.35 = 57,002.90/x
  3. Step 3: Cross multiply
    65,167.70x = 97,870.35 × 57,002.90
  4. Step 4: Simplify right side
    65,167.70x = 5,578,893,774.02
  5. Step 5: Solve for x
    x = 5,578,893,774.02/65,167.70
  6. Step 6: Final answer
    x = 85,608.27

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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.