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Finding the Fourth Proportional to 54,859.78, 75,706.86 and 29,709.28

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Solution

The fourth proportional to 54,859.78, 75,706.86 and 29,709.28 is: 40,999.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,859.78 : 75,706.86 = 29,709.28 : x
  2. Step 2: Convert to fraction form
    54,859.78/75,706.86 = 29,709.28/x
  3. Step 3: Cross multiply
    54,859.78x = 75,706.86 × 29,709.28
  4. Step 4: Simplify right side
    54,859.78x = 2,249,196,301.66
  5. Step 5: Solve for x
    x = 2,249,196,301.66/54,859.78
  6. Step 6: Final answer
    x = 40,999.00

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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.