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Finding the Fourth Proportional to 95,075.45, 142,630.15 and 31,916.14

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Solution

The fourth proportional to 95,075.45, 142,630.15 and 31,916.14 is: 47,879.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,075.45 : 142,630.15 = 31,916.14 : x
  2. Step 2: Convert to fraction form
    95,075.45/142,630.15 = 31,916.14/x
  3. Step 3: Cross multiply
    95,075.45x = 142,630.15 × 31,916.14
  4. Step 4: Simplify right side
    95,075.45x = 4,552,204,261.39
  5. Step 5: Solve for x
    x = 4,552,204,261.39/95,075.45
  6. Step 6: Final answer
    x = 47,879.91

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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.