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Finding the Fourth Proportional to 57,412.14, 86,101.47 and 22,343.46

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Solution

The fourth proportional to 57,412.14, 86,101.47 and 22,343.46 is: 33,508.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,412.14 : 86,101.47 = 22,343.46 : x
  2. Step 2: Convert to fraction form
    57,412.14/86,101.47 = 22,343.46/x
  3. Step 3: Cross multiply
    57,412.14x = 86,101.47 × 22,343.46
  4. Step 4: Simplify right side
    57,412.14x = 1,923,804,750.89
  5. Step 5: Solve for x
    x = 1,923,804,750.89/57,412.14
  6. Step 6: Final answer
    x = 33,508.68

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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.