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Finding the Fourth Proportional to 54,970.19, 75,859.01 and 29,819.69

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Solution

The fourth proportional to 54,970.19, 75,859.01 and 29,819.69 is: 41,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,970.19 : 75,859.01 = 29,819.69 : x
  2. Step 2: Convert to fraction form
    54,970.19/75,859.01 = 29,819.69/x
  3. Step 3: Cross multiply
    54,970.19x = 75,859.01 × 29,819.69
  4. Step 4: Simplify right side
    54,970.19x = 2,262,092,370.19
  5. Step 5: Solve for x
    x = 2,262,092,370.19/54,970.19
  6. Step 6: Final answer
    x = 41,151.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.