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Finding the Fourth Proportional to 61,117.56, 84,347.10 and 35,971.92

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Solution

The fourth proportional to 61,117.56, 84,347.10 and 35,971.92 is: 49,644.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,117.56 : 84,347.10 = 35,971.92 : x
  2. Step 2: Convert to fraction form
    61,117.56/84,347.10 = 35,971.92/x
  3. Step 3: Cross multiply
    61,117.56x = 84,347.10 × 35,971.92
  4. Step 4: Simplify right side
    61,117.56x = 3,034,127,133.43
  5. Step 5: Solve for x
    x = 3,034,127,133.43/61,117.56
  6. Step 6: Final answer
    x = 49,644.11

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Why These Related Problems?

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