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Finding the Fourth Proportional to 35,751.85, 49,359.27 and 27,779.02

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Solution

The fourth proportional to 35,751.85, 49,359.27 and 27,779.02 is: 38,351.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,751.85 : 49,359.27 = 27,779.02 : x
  2. Step 2: Convert to fraction form
    35,751.85/49,359.27 = 27,779.02/x
  3. Step 3: Cross multiply
    35,751.85x = 49,359.27 × 27,779.02
  4. Step 4: Simplify right side
    35,751.85x = 1,371,152,129.29
  5. Step 5: Solve for x
    x = 1,371,152,129.29/35,751.85
  6. Step 6: Final answer
    x = 38,351.92

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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.