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Finding the Fourth Proportional to 57,184, 85,681.26 and 40,461.16

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Solution

The fourth proportional to 57,184, 85,681.26 and 40,461.16 is: 60,624.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,184 : 85,681.26 = 40,461.16 : x
  2. Step 2: Convert to fraction form
    57,184/85,681.26 = 40,461.16/x
  3. Step 3: Cross multiply
    57,184x = 85,681.26 × 40,461.16
  4. Step 4: Simplify right side
    57,184x = 3,466,763,169.86
  5. Step 5: Solve for x
    x = 3,466,763,169.86/57,184
  6. Step 6: Final answer
    x = 60,624.71

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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.