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Finding the Fourth Proportional to 54,859.60, 75,706.48 and 29,709.12

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Solution

The fourth proportional to 54,859.60, 75,706.48 and 29,709.12 is: 40,998.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,859.60 : 75,706.48 = 29,709.12 : x
  2. Step 2: Convert to fraction form
    54,859.60/75,706.48 = 29,709.12/x
  3. Step 3: Cross multiply
    54,859.60x = 75,706.48 × 29,709.12
  4. Step 4: Simplify right side
    54,859.60x = 2,249,172,899.10
  5. Step 5: Solve for x
    x = 2,249,172,899.10/54,859.60
  6. Step 6: Final answer
    x = 40,998.71

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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.