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Finding the Fourth Proportional to 100,544.64, 150,587.28 and 47,991.12

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Solution

The fourth proportional to 100,544.64, 150,587.28 and 47,991.12 is: 71,877.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,544.64 : 150,587.28 = 47,991.12 : x
  2. Step 2: Convert to fraction form
    100,544.64/150,587.28 = 47,991.12/x
  3. Step 3: Cross multiply
    100,544.64x = 150,587.28 × 47,991.12
  4. Step 4: Simplify right side
    100,544.64x = 7,226,852,224.95
  5. Step 5: Solve for x
    x = 7,226,852,224.95/100,544.64
  6. Step 6: Final answer
    x = 71,877.05

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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.