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Finding the Fourth Proportional to 57,549.76, 86,230.78 and 35,316.20

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Solution

The fourth proportional to 57,549.76, 86,230.78 and 35,316.20 is: 52,916.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,549.76 : 86,230.78 = 35,316.20 : x
  2. Step 2: Convert to fraction form
    57,549.76/86,230.78 = 35,316.20/x
  3. Step 3: Cross multiply
    57,549.76x = 86,230.78 × 35,316.20
  4. Step 4: Simplify right side
    57,549.76x = 3,045,343,599.92
  5. Step 5: Solve for x
    x = 3,045,343,599.92/57,549.76
  6. Step 6: Final answer
    x = 52,916.71

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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.