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Finding the Fourth Proportional to 95,761.50, 143,642.25 and 30,097.50

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Solution

The fourth proportional to 95,761.50, 143,642.25 and 30,097.50 is: 45,146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,761.50 : 143,642.25 = 30,097.50 : x
  2. Step 2: Convert to fraction form
    95,761.50/143,642.25 = 30,097.50/x
  3. Step 3: Cross multiply
    95,761.50x = 143,642.25 × 30,097.50
  4. Step 4: Simplify right side
    95,761.50x = 4,323,272,619.38
  5. Step 5: Solve for x
    x = 4,323,272,619.38/95,761.50
  6. Step 6: Final answer
    x = 45,146.25

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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.