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Finding the Fourth Proportional to 56,742.88, 85,126.64 and 17,298.96

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Solution

The fourth proportional to 56,742.88, 85,126.64 and 17,298.96 is: 25,952.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,742.88 : 85,126.64 = 17,298.96 : x
  2. Step 2: Convert to fraction form
    56,742.88/85,126.64 = 17,298.96/x
  3. Step 3: Cross multiply
    56,742.88x = 85,126.64 × 17,298.96
  4. Step 4: Simplify right side
    56,742.88x = 1,472,602,340.29
  5. Step 5: Solve for x
    x = 1,472,602,340.29/56,742.88
  6. Step 6: Final answer
    x = 25,952.20

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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.