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Finding the Fourth Proportional to 57,203.68, 85,804.28 and 15,650.68

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Solution

The fourth proportional to 57,203.68, 85,804.28 and 15,650.68 is: 23,475.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,203.68 : 85,804.28 = 15,650.68 : x
  2. Step 2: Convert to fraction form
    57,203.68/85,804.28 = 15,650.68/x
  3. Step 3: Cross multiply
    57,203.68x = 85,804.28 × 15,650.68
  4. Step 4: Simplify right side
    57,203.68x = 1,342,895,328.91
  5. Step 5: Solve for x
    x = 1,342,895,328.91/57,203.68
  6. Step 6: Final answer
    x = 23,475.68

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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.