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Finding the Fourth Proportional to 95,147.50, 142,715.76 and 28,586.20

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Solution

The fourth proportional to 95,147.50, 142,715.76 and 28,586.20 is: 42,877.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,147.50 : 142,715.76 = 28,586.20 : x
  2. Step 2: Convert to fraction form
    95,147.50/142,715.76 = 28,586.20/x
  3. Step 3: Cross multiply
    95,147.50x = 142,715.76 × 28,586.20
  4. Step 4: Simplify right side
    95,147.50x = 4,079,701,258.51
  5. Step 5: Solve for x
    x = 4,079,701,258.51/95,147.50
  6. Step 6: Final answer
    x = 42,877.65

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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.