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Finding the Fourth Proportional to 75,262.88, 112,871.28 and 52,038.56

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Solution

The fourth proportional to 75,262.88, 112,871.28 and 52,038.56 is: 78,041.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,262.88 : 112,871.28 = 52,038.56 : x
  2. Step 2: Convert to fraction form
    75,262.88/112,871.28 = 52,038.56/x
  3. Step 3: Cross multiply
    75,262.88x = 112,871.28 × 52,038.56
  4. Step 4: Simplify right side
    75,262.88x = 5,873,658,876.56
  5. Step 5: Solve for x
    x = 5,873,658,876.56/75,262.88
  6. Step 6: Final answer
    x = 78,041.91

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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.