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Finding the Fourth Proportional to 65,222.55, 97,870.76 and 27,778.73

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Solution

The fourth proportional to 65,222.55, 97,870.76 and 27,778.73 is: 41,683.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,222.55 : 97,870.76 = 27,778.73 : x
  2. Step 2: Convert to fraction form
    65,222.55/97,870.76 = 27,778.73/x
  3. Step 3: Cross multiply
    65,222.55x = 97,870.76 × 27,778.73
  4. Step 4: Simplify right side
    65,222.55x = 2,718,725,278.04
  5. Step 5: Solve for x
    x = 2,718,725,278.04/65,222.55
  6. Step 6: Final answer
    x = 41,683.82

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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.