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Finding the Fourth Proportional to 61,411.74, 84,747.19 and 34,554.22

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Solution

The fourth proportional to 61,411.74, 84,747.19 and 34,554.22 is: 47,684.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,411.74 : 84,747.19 = 34,554.22 : x
  2. Step 2: Convert to fraction form
    61,411.74/84,747.19 = 34,554.22/x
  3. Step 3: Cross multiply
    61,411.74x = 84,747.19 × 34,554.22
  4. Step 4: Simplify right side
    61,411.74x = 2,928,373,047.64
  5. Step 5: Solve for x
    x = 2,928,373,047.64/61,411.74
  6. Step 6: Final answer
    x = 47,684.25

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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.