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Finding the Fourth Proportional to 61,648.20, 92,342.70 and 51,280.20

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Solution

The fourth proportional to 61,648.20, 92,342.70 and 51,280.20 is: 76,812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,648.20 : 92,342.70 = 51,280.20 : x
  2. Step 2: Convert to fraction form
    61,648.20/92,342.70 = 51,280.20/x
  3. Step 3: Cross multiply
    61,648.20x = 92,342.70 × 51,280.20
  4. Step 4: Simplify right side
    61,648.20x = 4,735,352,124.54
  5. Step 5: Solve for x
    x = 4,735,352,124.54/61,648.20
  6. Step 6: Final answer
    x = 76,812.50

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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.