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Finding the Fourth Proportional to 38,082.68, 52,552.27 and 21,085.74

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Solution

The fourth proportional to 38,082.68, 52,552.27 and 21,085.74 is: 29,097.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,082.68 : 52,552.27 = 21,085.74 : x
  2. Step 2: Convert to fraction form
    38,082.68/52,552.27 = 21,085.74/x
  3. Step 3: Cross multiply
    38,082.68x = 52,552.27 × 21,085.74
  4. Step 4: Simplify right side
    38,082.68x = 1,108,103,501.63
  5. Step 5: Solve for x
    x = 1,108,103,501.63/38,082.68
  6. Step 6: Final answer
    x = 29,097.31

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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.