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Finding the Fourth Proportional to 57,045.70, 78,726.02 and 32,850.26

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Solution

The fourth proportional to 57,045.70, 78,726.02 and 32,850.26 is: 45,335.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,045.70 : 78,726.02 = 32,850.26 : x
  2. Step 2: Convert to fraction form
    57,045.70/78,726.02 = 32,850.26/x
  3. Step 3: Cross multiply
    57,045.70x = 78,726.02 × 32,850.26
  4. Step 4: Simplify right side
    57,045.70x = 2,586,170,225.77
  5. Step 5: Solve for x
    x = 2,586,170,225.77/57,045.70
  6. Step 6: Final answer
    x = 45,335.06

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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.