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Finding the Fourth Proportional to 65,354.40, 97,292.52 and 64,965.60

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Solution

The fourth proportional to 65,354.40, 97,292.52 and 64,965.60 is: 96,713.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,354.40 : 97,292.52 = 64,965.60 : x
  2. Step 2: Convert to fraction form
    65,354.40/97,292.52 = 64,965.60/x
  3. Step 3: Cross multiply
    65,354.40x = 97,292.52 × 64,965.60
  4. Step 4: Simplify right side
    65,354.40x = 6,320,666,937.31
  5. Step 5: Solve for x
    x = 6,320,666,937.31/65,354.40
  6. Step 6: Final answer
    x = 96,713.72

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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.