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Finding the Fourth Proportional to 38,604, 58,002.81 and 24,570.09

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Solution

The fourth proportional to 38,604, 58,002.81 and 24,570.09 is: 36,916.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,604 : 58,002.81 = 24,570.09 : x
  2. Step 2: Convert to fraction form
    38,604/58,002.81 = 24,570.09/x
  3. Step 3: Cross multiply
    38,604x = 58,002.81 × 24,570.09
  4. Step 4: Simplify right side
    38,604x = 1,425,134,261.95
  5. Step 5: Solve for x
    x = 1,425,134,261.95/38,604
  6. Step 6: Final answer
    x = 36,916.75

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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.