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Finding the Fourth Proportional to 95,142.87, 142,730.80 and 31,969.16

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Solution

The fourth proportional to 95,142.87, 142,730.80 and 31,969.16 is: 47,959.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,142.87 : 142,730.80 = 31,969.16 : x
  2. Step 2: Convert to fraction form
    95,142.87/142,730.80 = 31,969.16/x
  3. Step 3: Cross multiply
    95,142.87x = 142,730.80 × 31,969.16
  4. Step 4: Simplify right side
    95,142.87x = 4,562,983,077.40
  5. Step 5: Solve for x
    x = 4,562,983,077.40/95,142.87
  6. Step 6: Final answer
    x = 47,959.27

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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.