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Finding the Fourth Proportional to 70,955.64, 106,447.86 and 26,581.56

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Solution

The fourth proportional to 70,955.64, 106,447.86 and 26,581.56 is: 39,877.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,955.64 : 106,447.86 = 26,581.56 : x
  2. Step 2: Convert to fraction form
    70,955.64/106,447.86 = 26,581.56/x
  3. Step 3: Cross multiply
    70,955.64x = 106,447.86 × 26,581.56
  4. Step 4: Simplify right side
    70,955.64x = 2,829,550,177.46
  5. Step 5: Solve for x
    x = 2,829,550,177.46/70,955.64
  6. Step 6: Final answer
    x = 39,877.73

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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.