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Finding the Fourth Proportional to 106,897.79, 160,301.58 and 32,028.58

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Solution

The fourth proportional to 106,897.79, 160,301.58 and 32,028.58 is: 48,029.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,897.79 : 160,301.58 = 32,028.58 : x
  2. Step 2: Convert to fraction form
    106,897.79/160,301.58 = 32,028.58/x
  3. Step 3: Cross multiply
    106,897.79x = 160,301.58 × 32,028.58
  4. Step 4: Simplify right side
    106,897.79x = 5,134,231,979.16
  5. Step 5: Solve for x
    x = 5,134,231,979.16/106,897.79
  6. Step 6: Final answer
    x = 48,029.36

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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.