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Finding the Fourth Proportional to 38,002.84, 52,443.65 and 21,235.84

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Solution

The fourth proportional to 38,002.84, 52,443.65 and 21,235.84 is: 29,305.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,002.84 : 52,443.65 = 21,235.84 : x
  2. Step 2: Convert to fraction form
    38,002.84/52,443.65 = 21,235.84/x
  3. Step 3: Cross multiply
    38,002.84x = 52,443.65 × 21,235.84
  4. Step 4: Simplify right side
    38,002.84x = 1,113,684,882.40
  5. Step 5: Solve for x
    x = 1,113,684,882.40/38,002.84
  6. Step 6: Final answer
    x = 29,305.31

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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.