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Finding the Fourth Proportional to 101,919.33, 152,646.21 and 48,648.78

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Solution

The fourth proportional to 101,919.33, 152,646.21 and 48,648.78 is: 72,862.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,919.33 : 152,646.21 = 48,648.78 : x
  2. Step 2: Convert to fraction form
    101,919.33/152,646.21 = 48,648.78/x
  3. Step 3: Cross multiply
    101,919.33x = 152,646.21 × 48,648.78
  4. Step 4: Simplify right side
    101,919.33x = 7,426,051,888.12
  5. Step 5: Solve for x
    x = 7,426,051,888.12/101,919.33
  6. Step 6: Final answer
    x = 72,862.06

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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.