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Finding the Fourth Proportional to 52,002.54, 77,954.60 and 32,024.30

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Solution

The fourth proportional to 52,002.54, 77,954.60 and 32,024.30 is: 48,006.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,002.54 : 77,954.60 = 32,024.30 : x
  2. Step 2: Convert to fraction form
    52,002.54/77,954.60 = 32,024.30/x
  3. Step 3: Cross multiply
    52,002.54x = 77,954.60 × 32,024.30
  4. Step 4: Simplify right side
    52,002.54x = 2,496,440,946.89
  5. Step 5: Solve for x
    x = 2,496,440,946.89/52,002.54
  6. Step 6: Final answer
    x = 48,006.13

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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.