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Finding the Fourth Proportional to 51,689.93, 77,534.01 and 29,455.88

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Solution

The fourth proportional to 51,689.93, 77,534.01 and 29,455.88 is: 44,183.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,689.93 : 77,534.01 = 29,455.88 : x
  2. Step 2: Convert to fraction form
    51,689.93/77,534.01 = 29,455.88/x
  3. Step 3: Cross multiply
    51,689.93x = 77,534.01 × 29,455.88
  4. Step 4: Simplify right side
    51,689.93x = 2,283,832,106.81
  5. Step 5: Solve for x
    x = 2,283,832,106.81/51,689.93
  6. Step 6: Final answer
    x = 44,183.31

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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.