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Finding the Fourth Proportional to 37,502.88, 51,759.12 and 22,596

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Solution

The fourth proportional to 37,502.88, 51,759.12 and 22,596 is: 31,185.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,502.88 : 51,759.12 = 22,596 : x
  2. Step 2: Convert to fraction form
    37,502.88/51,759.12 = 22,596/x
  3. Step 3: Cross multiply
    37,502.88x = 51,759.12 × 22,596
  4. Step 4: Simplify right side
    37,502.88x = 1,169,549,075.52
  5. Step 5: Solve for x
    x = 1,169,549,075.52/37,502.88
  6. Step 6: Final answer
    x = 31,185.58

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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.