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Finding the Fourth Proportional to 107,733, 161,630.24 and 36,671.24

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Solution

The fourth proportional to 107,733, 161,630.24 and 36,671.24 is: 55,017.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,733 : 161,630.24 = 36,671.24 : x
  2. Step 2: Convert to fraction form
    107,733/161,630.24 = 36,671.24/x
  3. Step 3: Cross multiply
    107,733x = 161,630.24 × 36,671.24
  4. Step 4: Simplify right side
    107,733x = 5,927,181,322.30
  5. Step 5: Solve for x
    x = 5,927,181,322.30/107,733
  6. Step 6: Final answer
    x = 55,017.32

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1.5x scale

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.