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Finding the Fourth Proportional to 54,970.65, 75,859.64 and 29,820.15

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Solution

The fourth proportional to 54,970.65, 75,859.64 and 29,820.15 is: 41,151.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,970.65 : 75,859.64 = 29,820.15 : x
  2. Step 2: Convert to fraction form
    54,970.65/75,859.64 = 29,820.15/x
  3. Step 3: Cross multiply
    54,970.65x = 75,859.64 × 29,820.15
  4. Step 4: Simplify right side
    54,970.65x = 2,262,145,762.70
  5. Step 5: Solve for x
    x = 2,262,145,762.70/54,970.65
  6. Step 6: Final answer
    x = 41,151.88

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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.