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Finding the Fourth Proportional to 65,114.70, 97,412.85 and 56,445.90

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Solution

The fourth proportional to 65,114.70, 97,412.85 and 56,445.90 is: 84,444.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,114.70 : 97,412.85 = 56,445.90 : x
  2. Step 2: Convert to fraction form
    65,114.70/97,412.85 = 56,445.90/x
  3. Step 3: Cross multiply
    65,114.70x = 97,412.85 × 56,445.90
  4. Step 4: Simplify right side
    65,114.70x = 5,498,555,989.82
  5. Step 5: Solve for x
    x = 5,498,555,989.82/65,114.70
  6. Step 6: Final answer
    x = 84,444.16

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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.