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Finding the Fourth Proportional to 38,382.51, 57,549.16 and 26,503

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Solution

The fourth proportional to 38,382.51, 57,549.16 and 26,503 is: 39,737.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,382.51 : 57,549.16 = 26,503 : x
  2. Step 2: Convert to fraction form
    38,382.51/57,549.16 = 26,503/x
  3. Step 3: Cross multiply
    38,382.51x = 57,549.16 × 26,503
  4. Step 4: Simplify right side
    38,382.51x = 1,525,225,387.48
  5. Step 5: Solve for x
    x = 1,525,225,387.48/38,382.51
  6. Step 6: Final answer
    x = 39,737.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.