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Finding the Fourth Proportional to 38,282.34, 57,443.14 and 15,809.70

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Solution

The fourth proportional to 38,282.34, 57,443.14 and 15,809.70 is: 23,722.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,282.34 : 57,443.14 = 15,809.70 : x
  2. Step 2: Convert to fraction form
    38,282.34/57,443.14 = 15,809.70/x
  3. Step 3: Cross multiply
    38,282.34x = 57,443.14 × 15,809.70
  4. Step 4: Simplify right side
    38,282.34x = 908,158,810.46
  5. Step 5: Solve for x
    x = 908,158,810.46/38,282.34
  6. Step 6: Final answer
    x = 23,722.66

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