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Finding the Fourth Proportional to 52,096.40, 71,893 and 28,223.16

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Solution

The fourth proportional to 52,096.40, 71,893 and 28,223.16 is: 38,947.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,096.40 : 71,893 = 28,223.16 : x
  2. Step 2: Convert to fraction form
    52,096.40/71,893 = 28,223.16/x
  3. Step 3: Cross multiply
    52,096.40x = 71,893 × 28,223.16
  4. Step 4: Simplify right side
    52,096.40x = 2,029,047,641.88
  5. Step 5: Solve for x
    x = 2,029,047,641.88/52,096.40
  6. Step 6: Final answer
    x = 38,947.94

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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.