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Finding the Fourth Proportional to 76,046.53, 114,071.33 and 23,456.02

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Solution

The fourth proportional to 76,046.53, 114,071.33 and 23,456.02 is: 35,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,046.53 : 114,071.33 = 23,456.02 : x
  2. Step 2: Convert to fraction form
    76,046.53/114,071.33 = 23,456.02/x
  3. Step 3: Cross multiply
    76,046.53x = 114,071.33 × 23,456.02
  4. Step 4: Simplify right side
    76,046.53x = 2,675,659,397.91
  5. Step 5: Solve for x
    x = 2,675,659,397.91/76,046.53
  6. Step 6: Final answer
    x = 35,184.50

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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.