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Finding the Fourth Proportional to 48,657.42, 73,014.96 and 20,575.98

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Solution

The fourth proportional to 48,657.42, 73,014.96 and 20,575.98 is: 30,876.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,657.42 : 73,014.96 = 20,575.98 : x
  2. Step 2: Convert to fraction form
    48,657.42/73,014.96 = 20,575.98/x
  3. Step 3: Cross multiply
    48,657.42x = 73,014.96 × 20,575.98
  4. Step 4: Simplify right side
    48,657.42x = 1,502,354,356.66
  5. Step 5: Solve for x
    x = 1,502,354,356.66/48,657.42
  6. Step 6: Final answer
    x = 30,876.16

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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.