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Finding the Fourth Proportional to 48,724, 73,088.40 and 15,892

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Solution

The fourth proportional to 48,724, 73,088.40 and 15,892 is: 23,838.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,724 : 73,088.40 = 15,892 : x
  2. Step 2: Convert to fraction form
    48,724/73,088.40 = 15,892/x
  3. Step 3: Cross multiply
    48,724x = 73,088.40 × 15,892
  4. Step 4: Simplify right side
    48,724x = 1,161,520,852.80
  5. Step 5: Solve for x
    x = 1,161,520,852.80/48,724
  6. Step 6: Final answer
    x = 23,838.78

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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.