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Finding the Fourth Proportional to 62,135.04, 85,743.42 and 35,274

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Solution

The fourth proportional to 62,135.04, 85,743.42 and 35,274 is: 48,676.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,135.04 : 85,743.42 = 35,274 : x
  2. Step 2: Convert to fraction form
    62,135.04/85,743.42 = 35,274/x
  3. Step 3: Cross multiply
    62,135.04x = 85,743.42 × 35,274
  4. Step 4: Simplify right side
    62,135.04x = 3,024,513,397.08
  5. Step 5: Solve for x
    x = 3,024,513,397.08/62,135.04
  6. Step 6: Final answer
    x = 48,676.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.