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Finding the Fourth Proportional to 51,781.58, 77,671.58 and 23,298.42

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Solution

The fourth proportional to 51,781.58, 77,671.58 and 23,298.42 is: 34,947.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,781.58 : 77,671.58 = 23,298.42 : x
  2. Step 2: Convert to fraction form
    51,781.58/77,671.58 = 23,298.42/x
  3. Step 3: Cross multiply
    51,781.58x = 77,671.58 × 23,298.42
  4. Step 4: Simplify right side
    51,781.58x = 1,809,625,092.90
  5. Step 5: Solve for x
    x = 1,809,625,092.90/51,781.58
  6. Step 6: Final answer
    x = 34,947.27

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1.5x scale

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.