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Finding the Fourth Proportional to 106,897.42, 160,301.01 and 32,028.21

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Solution

The fourth proportional to 106,897.42, 160,301.01 and 32,028.21 is: 48,028.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,897.42 : 160,301.01 = 32,028.21 : x
  2. Step 2: Convert to fraction form
    106,897.42/160,301.01 = 32,028.21/x
  3. Step 3: Cross multiply
    106,897.42x = 160,301.01 × 32,028.21
  4. Step 4: Simplify right side
    106,897.42x = 5,134,154,411.49
  5. Step 5: Solve for x
    x = 5,134,154,411.49/106,897.42
  6. Step 6: Final answer
    x = 48,028.80

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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.