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Finding the Fourth Proportional to 65,387.70, 97,822.35 and 56,718.90

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Solution

The fourth proportional to 65,387.70, 97,822.35 and 56,718.90 is: 84,853.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,387.70 : 97,822.35 = 56,718.90 : x
  2. Step 2: Convert to fraction form
    65,387.70/97,822.35 = 56,718.90/x
  3. Step 3: Cross multiply
    65,387.70x = 97,822.35 × 56,718.90
  4. Step 4: Simplify right side
    65,387.70x = 5,548,376,087.42
  5. Step 5: Solve for x
    x = 5,548,376,087.42/65,387.70
  6. Step 6: Final answer
    x = 84,853.51

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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.