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Finding the Fourth Proportional to 62,295.84, 85,966.92 and 34,002

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Solution

The fourth proportional to 62,295.84, 85,966.92 and 34,002 is: 46,922.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,295.84 : 85,966.92 = 34,002 : x
  2. Step 2: Convert to fraction form
    62,295.84/85,966.92 = 34,002/x
  3. Step 3: Cross multiply
    62,295.84x = 85,966.92 × 34,002
  4. Step 4: Simplify right side
    62,295.84x = 2,923,047,213.84
  5. Step 5: Solve for x
    x = 2,923,047,213.84/62,295.84
  6. Step 6: Final answer
    x = 46,922.03

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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.