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Finding the Fourth Proportional to 84,411.74, 126,570.87 and 34,526.87

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Solution

The fourth proportional to 84,411.74, 126,570.87 and 34,526.87 is: 51,771.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,411.74 : 126,570.87 = 34,526.87 : x
  2. Step 2: Convert to fraction form
    84,411.74/126,570.87 = 34,526.87/x
  3. Step 3: Cross multiply
    84,411.74x = 126,570.87 × 34,526.87
  4. Step 4: Simplify right side
    84,411.74x = 4,370,095,974.28
  5. Step 5: Solve for x
    x = 4,370,095,974.28/84,411.74
  6. Step 6: Final answer
    x = 51,771.19

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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.