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Finding the Fourth Proportional to 95,141.50, 142,706.78 and 28,580.16

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Solution

The fourth proportional to 95,141.50, 142,706.78 and 28,580.16 is: 42,868.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,141.50 : 142,706.78 = 28,580.16 : x
  2. Step 2: Convert to fraction form
    95,141.50/142,706.78 = 28,580.16/x
  3. Step 3: Cross multiply
    95,141.50x = 142,706.78 × 28,580.16
  4. Step 4: Simplify right side
    95,141.50x = 4,078,582,605.48
  5. Step 5: Solve for x
    x = 4,078,582,605.48/95,141.50
  6. Step 6: Final answer
    x = 42,868.60

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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.