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Finding the Fourth Proportional to 51,779.51, 77,747.04 and 29,617.91

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Solution

The fourth proportional to 51,779.51, 77,747.04 and 29,617.91 is: 44,471.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,779.51 : 77,747.04 = 29,617.91 : x
  2. Step 2: Convert to fraction form
    51,779.51/77,747.04 = 29,617.91/x
  3. Step 3: Cross multiply
    51,779.51x = 77,747.04 × 29,617.91
  4. Step 4: Simplify right side
    51,779.51x = 2,302,704,833.49
  5. Step 5: Solve for x
    x = 2,302,704,833.49/51,779.51
  6. Step 6: Final answer
    x = 44,471.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.