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Finding the Fourth Proportional to 48,154.78, 72,246.75 and 20,088.28

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Solution

The fourth proportional to 48,154.78, 72,246.75 and 20,088.28 is: 30,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,154.78 : 72,246.75 = 20,088.28 : x
  2. Step 2: Convert to fraction form
    48,154.78/72,246.75 = 20,088.28/x
  3. Step 3: Cross multiply
    48,154.78x = 72,246.75 × 20,088.28
  4. Step 4: Simplify right side
    48,154.78x = 1,451,312,943.09
  5. Step 5: Solve for x
    x = 1,451,312,943.09/48,154.78
  6. Step 6: Final answer
    x = 30,138.50

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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.