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Finding the Fourth Proportional to 109,241.32, 163,822.32 and 38,144

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Solution

The fourth proportional to 109,241.32, 163,822.32 and 38,144 is: 57,202.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,241.32 : 163,822.32 = 38,144 : x
  2. Step 2: Convert to fraction form
    109,241.32/163,822.32 = 38,144/x
  3. Step 3: Cross multiply
    109,241.32x = 163,822.32 × 38,144
  4. Step 4: Simplify right side
    109,241.32x = 6,248,838,574.08
  5. Step 5: Solve for x
    x = 6,248,838,574.08/109,241.32
  6. Step 6: Final answer
    x = 57,202.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.