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Finding the Fourth Proportional to 34,200.92, 51,319.15 and 25,878.47

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Solution

The fourth proportional to 34,200.92, 51,319.15 and 25,878.47 is: 38,831.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,200.92 : 51,319.15 = 25,878.47 : x
  2. Step 2: Convert to fraction form
    34,200.92/51,319.15 = 25,878.47/x
  3. Step 3: Cross multiply
    34,200.92x = 51,319.15 × 25,878.47
  4. Step 4: Simplify right side
    34,200.92x = 1,328,060,762.41
  5. Step 5: Solve for x
    x = 1,328,060,762.41/34,200.92
  6. Step 6: Final answer
    x = 38,831.14

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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.