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Finding the Fourth Proportional to 54,859.04, 75,706 and 29,709.04

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Solution

The fourth proportional to 54,859.04, 75,706 and 29,709.04 is: 40,998.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,859.04 : 75,706 = 29,709.04 : x
  2. Step 2: Convert to fraction form
    54,859.04/75,706 = 29,709.04/x
  3. Step 3: Cross multiply
    54,859.04x = 75,706 × 29,709.04
  4. Step 4: Simplify right side
    54,859.04x = 2,249,152,582.24
  5. Step 5: Solve for x
    x = 2,249,152,582.24/54,859.04
  6. Step 6: Final answer
    x = 40,998.76

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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.