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Finding the Fourth Proportional to 65,414.70, 97,862.85 and 56,745.90

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Solution

The fourth proportional to 65,414.70, 97,862.85 and 56,745.90 is: 84,894.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,414.70 : 97,862.85 = 56,745.90 : x
  2. Step 2: Convert to fraction form
    65,414.70/97,862.85 = 56,745.90/x
  3. Step 3: Cross multiply
    65,414.70x = 97,862.85 × 56,745.90
  4. Step 4: Simplify right side
    65,414.70x = 5,553,315,499.82
  5. Step 5: Solve for x
    x = 5,553,315,499.82/65,414.70
  6. Step 6: Final answer
    x = 84,894.00

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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.