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Finding the Fourth Proportional to 48,726, 73,091.16 and 15,894

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Solution

The fourth proportional to 48,726, 73,091.16 and 15,894 is: 23,841.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,726 : 73,091.16 = 15,894 : x
  2. Step 2: Convert to fraction form
    48,726/73,091.16 = 15,894/x
  3. Step 3: Cross multiply
    48,726x = 73,091.16 × 15,894
  4. Step 4: Simplify right side
    48,726x = 1,161,710,897.04
  5. Step 5: Solve for x
    x = 1,161,710,897.04/48,726
  6. Step 6: Final answer
    x = 23,841.70

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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.