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Finding the Fourth Proportional to 48,697.52, 73,048.86 and 15,421.10

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Solution

The fourth proportional to 48,697.52, 73,048.86 and 15,421.10 is: 23,132.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,697.52 : 73,048.86 = 15,421.10 : x
  2. Step 2: Convert to fraction form
    48,697.52/73,048.86 = 15,421.10/x
  3. Step 3: Cross multiply
    48,697.52x = 73,048.86 × 15,421.10
  4. Step 4: Simplify right side
    48,697.52x = 1,126,493,774.95
  5. Step 5: Solve for x
    x = 1,126,493,774.95/48,697.52
  6. Step 6: Final answer
    x = 23,132.47

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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.