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Finding the Fourth Proportional to 130,483.52, 195,702.24 and 51,571.52

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Solution

The fourth proportional to 130,483.52, 195,702.24 and 51,571.52 is: 77,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,483.52 : 195,702.24 = 51,571.52 : x
  2. Step 2: Convert to fraction form
    130,483.52/195,702.24 = 51,571.52/x
  3. Step 3: Cross multiply
    130,483.52x = 195,702.24 × 51,571.52
  4. Step 4: Simplify right side
    130,483.52x = 10,092,661,984.20
  5. Step 5: Solve for x
    x = 10,092,661,984.20/130,483.52
  6. Step 6: Final answer
    x = 77,348.17

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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.