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Finding the Fourth Proportional to 65,141.97, 97,565.31 and 51,013.95

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Solution

The fourth proportional to 65,141.97, 97,565.31 and 51,013.95 is: 76,405.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,141.97 : 97,565.31 = 51,013.95 : x
  2. Step 2: Convert to fraction form
    65,141.97/97,565.31 = 51,013.95/x
  3. Step 3: Cross multiply
    65,141.97x = 97,565.31 × 51,013.95
  4. Step 4: Simplify right side
    65,141.97x = 4,977,191,846.07
  5. Step 5: Solve for x
    x = 4,977,191,846.07/65,141.97
  6. Step 6: Final answer
    x = 76,405.30

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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.