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Finding the Fourth Proportional to 56,725.98, 78,275.06 and 32,849.40

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Solution

The fourth proportional to 56,725.98, 78,275.06 and 32,849.40 is: 45,328.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,725.98 : 78,275.06 = 32,849.40 : x
  2. Step 2: Convert to fraction form
    56,725.98/78,275.06 = 32,849.40/x
  3. Step 3: Cross multiply
    56,725.98x = 78,275.06 × 32,849.40
  4. Step 4: Simplify right side
    56,725.98x = 2,571,288,755.96
  5. Step 5: Solve for x
    x = 2,571,288,755.96/56,725.98
  6. Step 6: Final answer
    x = 45,328.24

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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.