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Finding the Fourth Proportional to 65,294.60, 97,796.10 and 39,050.60

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Solution

The fourth proportional to 65,294.60, 97,796.10 and 39,050.60 is: 58,488.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,294.60 : 97,796.10 = 39,050.60 : x
  2. Step 2: Convert to fraction form
    65,294.60/97,796.10 = 39,050.60/x
  3. Step 3: Cross multiply
    65,294.60x = 97,796.10 × 39,050.60
  4. Step 4: Simplify right side
    65,294.60x = 3,818,996,382.66
  5. Step 5: Solve for x
    x = 3,818,996,382.66/65,294.60
  6. Step 6: Final answer
    x = 58,488.70

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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.