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Finding the Fourth Proportional to 48,968.47, 73,454.44 and 15,684.20

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Solution

The fourth proportional to 48,968.47, 73,454.44 and 15,684.20 is: 23,526.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,968.47 : 73,454.44 = 15,684.20 : x
  2. Step 2: Convert to fraction form
    48,968.47/73,454.44 = 15,684.20/x
  3. Step 3: Cross multiply
    48,968.47x = 73,454.44 × 15,684.20
  4. Step 4: Simplify right side
    48,968.47x = 1,152,074,272.27
  5. Step 5: Solve for x
    x = 1,152,074,272.27/48,968.47
  6. Step 6: Final answer
    x = 23,526.86

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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.