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Finding the Fourth Proportional to 57,184.68, 85,810.68 and 23,902.14

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Solution

The fourth proportional to 57,184.68, 85,810.68 and 23,902.14 is: 35,867.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,184.68 : 85,810.68 = 23,902.14 : x
  2. Step 2: Convert to fraction form
    57,184.68/85,810.68 = 23,902.14/x
  3. Step 3: Cross multiply
    57,184.68x = 85,810.68 × 23,902.14
  4. Step 4: Simplify right side
    57,184.68x = 2,051,058,886.86
  5. Step 5: Solve for x
    x = 2,051,058,886.86/57,184.68
  6. Step 6: Final answer
    x = 35,867.28

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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.