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Finding the Fourth Proportional to 61,948.60, 92,947.20 and 22,509.70

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Solution

The fourth proportional to 61,948.60, 92,947.20 and 22,509.70 is: 33,773.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,948.60 : 92,947.20 = 22,509.70 : x
  2. Step 2: Convert to fraction form
    61,948.60/92,947.20 = 22,509.70/x
  3. Step 3: Cross multiply
    61,948.60x = 92,947.20 × 22,509.70
  4. Step 4: Simplify right side
    61,948.60x = 2,092,213,587.84
  5. Step 5: Solve for x
    x = 2,092,213,587.84/61,948.60
  6. Step 6: Final answer
    x = 33,773.38

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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.