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Finding the Fourth Proportional to 103,092.84, 154,631.88 and 32,013.54

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Solution

The fourth proportional to 103,092.84, 154,631.88 and 32,013.54 is: 48,018.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,092.84 : 154,631.88 = 32,013.54 : x
  2. Step 2: Convert to fraction form
    103,092.84/154,631.88 = 32,013.54/x
  3. Step 3: Cross multiply
    103,092.84x = 154,631.88 × 32,013.54
  4. Step 4: Simplify right side
    103,092.84x = 4,950,313,875.66
  5. Step 5: Solve for x
    x = 4,950,313,875.66/103,092.84
  6. Step 6: Final answer
    x = 48,018.02

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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.