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Finding the Fourth Proportional to 38,024.87, 57,047.03 and 15,830.87

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Solution

The fourth proportional to 38,024.87, 57,047.03 and 15,830.87 is: 23,750.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,024.87 : 57,047.03 = 15,830.87 : x
  2. Step 2: Convert to fraction form
    38,024.87/57,047.03 = 15,830.87/x
  3. Step 3: Cross multiply
    38,024.87x = 57,047.03 × 15,830.87
  4. Step 4: Simplify right side
    38,024.87x = 903,104,036.66
  5. Step 5: Solve for x
    x = 903,104,036.66/38,024.87
  6. Step 6: Final answer
    x = 23,750.35

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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.