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Finding the Fourth Proportional to 48,963, 73,444.32 and 13,902.66

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Solution

The fourth proportional to 48,963, 73,444.32 and 13,902.66 is: 20,853.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,963 : 73,444.32 = 13,902.66 : x
  2. Step 2: Convert to fraction form
    48,963/73,444.32 = 13,902.66/x
  3. Step 3: Cross multiply
    48,963x = 73,444.32 × 13,902.66
  4. Step 4: Simplify right side
    48,963x = 1,021,071,409.89
  5. Step 5: Solve for x
    x = 1,021,071,409.89/48,963
  6. Step 6: Final answer
    x = 20,853.94

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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.