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Finding the Fourth Proportional to 34,437.66, 51,656.48 and 13,661.16

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Solution

The fourth proportional to 34,437.66, 51,656.48 and 13,661.16 is: 20,491.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,437.66 : 51,656.48 = 13,661.16 : x
  2. Step 2: Convert to fraction form
    34,437.66/51,656.48 = 13,661.16/x
  3. Step 3: Cross multiply
    34,437.66x = 51,656.48 × 13,661.16
  4. Step 4: Simplify right side
    34,437.66x = 705,687,304.37
  5. Step 5: Solve for x
    x = 705,687,304.37/34,437.66
  6. Step 6: Final answer
    x = 20,491.73

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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.