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Finding the Fourth Proportional to 41,189.61, 56,888.34 and 27,737.46

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Solution

The fourth proportional to 41,189.61, 56,888.34 and 27,737.46 is: 38,309.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,189.61 : 56,888.34 = 27,737.46 : x
  2. Step 2: Convert to fraction form
    41,189.61/56,888.34 = 27,737.46/x
  3. Step 3: Cross multiply
    41,189.61x = 56,888.34 × 27,737.46
  4. Step 4: Simplify right side
    41,189.61x = 1,577,938,055.22
  5. Step 5: Solve for x
    x = 1,577,938,055.22/41,189.61
  6. Step 6: Final answer
    x = 38,309.13

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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.