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Finding the Fourth Proportional to 65,659.28, 97,864.32 and 61,922.24

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Solution

The fourth proportional to 65,659.28, 97,864.32 and 61,922.24 is: 92,294.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,659.28 : 97,864.32 = 61,922.24 : x
  2. Step 2: Convert to fraction form
    65,659.28/97,864.32 = 61,922.24/x
  3. Step 3: Cross multiply
    65,659.28x = 97,864.32 × 61,922.24
  4. Step 4: Simplify right side
    65,659.28x = 6,059,977,421.16
  5. Step 5: Solve for x
    x = 6,059,977,421.16/65,659.28
  6. Step 6: Final answer
    x = 92,294.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.