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Finding the Fourth Proportional to 102,657.56, 153,991.86 and 32,542.34

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Solution

The fourth proportional to 102,657.56, 153,991.86 and 32,542.34 is: 48,815.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,657.56 : 153,991.86 = 32,542.34 : x
  2. Step 2: Convert to fraction form
    102,657.56/153,991.86 = 32,542.34/x
  3. Step 3: Cross multiply
    102,657.56x = 153,991.86 × 32,542.34
  4. Step 4: Simplify right side
    102,657.56x = 5,011,255,465.35
  5. Step 5: Solve for x
    x = 5,011,255,465.35/102,657.56
  6. Step 6: Final answer
    x = 48,815.26

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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.