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Finding the Fourth Proportional to 57,878.20, 86,822.10 and 18,434.20

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Solution

The fourth proportional to 57,878.20, 86,822.10 and 18,434.20 is: 27,652.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,878.20 : 86,822.10 = 18,434.20 : x
  2. Step 2: Convert to fraction form
    57,878.20/86,822.10 = 18,434.20/x
  3. Step 3: Cross multiply
    57,878.20x = 86,822.10 × 18,434.20
  4. Step 4: Simplify right side
    57,878.20x = 1,600,495,955.82
  5. Step 5: Solve for x
    x = 1,600,495,955.82/57,878.20
  6. Step 6: Final answer
    x = 27,652.83

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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.