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Finding the Fourth Proportional to 56,525.75, 78,006.51 and 31,034.48

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Solution

The fourth proportional to 56,525.75, 78,006.51 and 31,034.48 is: 42,828.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,525.75 : 78,006.51 = 31,034.48 : x
  2. Step 2: Convert to fraction form
    56,525.75/78,006.51 = 31,034.48/x
  3. Step 3: Cross multiply
    56,525.75x = 78,006.51 × 31,034.48
  4. Step 4: Simplify right side
    56,525.75x = 2,420,891,474.46
  5. Step 5: Solve for x
    x = 2,420,891,474.46/56,525.75
  6. Step 6: Final answer
    x = 42,828.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.