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Finding the Fourth Proportional to 55,097.84, 76,034.98 and 29,947.34

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Solution

The fourth proportional to 55,097.84, 76,034.98 and 29,947.34 is: 41,327.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,097.84 : 76,034.98 = 29,947.34 : x
  2. Step 2: Convert to fraction form
    55,097.84/76,034.98 = 29,947.34/x
  3. Step 3: Cross multiply
    55,097.84x = 76,034.98 × 29,947.34
  4. Step 4: Simplify right side
    55,097.84x = 2,277,045,397.95
  5. Step 5: Solve for x
    x = 2,277,045,397.95/55,097.84
  6. Step 6: Final answer
    x = 41,327.31

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1.5x scale

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.