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Finding the Fourth Proportional to 105,217.75, 157,827.03 and 26,331.76

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Solution

The fourth proportional to 105,217.75, 157,827.03 and 26,331.76 is: 39,497.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,217.75 : 157,827.03 = 26,331.76 : x
  2. Step 2: Convert to fraction form
    105,217.75/157,827.03 = 26,331.76/x
  3. Step 3: Cross multiply
    105,217.75x = 157,827.03 × 26,331.76
  4. Step 4: Simplify right side
    105,217.75x = 4,155,863,475.47
  5. Step 5: Solve for x
    x = 4,155,863,475.47/105,217.75
  6. Step 6: Final answer
    x = 39,497.74

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1.5x scale

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.