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Finding the Fourth Proportional to 107,189.64, 160,671.06 and 36,044.51

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Solution

The fourth proportional to 107,189.64, 160,671.06 and 36,044.51 is: 54,028.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,189.64 : 160,671.06 = 36,044.51 : x
  2. Step 2: Convert to fraction form
    107,189.64/160,671.06 = 36,044.51/x
  3. Step 3: Cross multiply
    107,189.64x = 160,671.06 × 36,044.51
  4. Step 4: Simplify right side
    107,189.64x = 5,791,308,825.53
  5. Step 5: Solve for x
    x = 5,791,308,825.53/107,189.64
  6. Step 6: Final answer
    x = 54,028.62

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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.