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Finding the Fourth Proportional to 34,421.49, 51,544.76 and 31,534.65

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Solution

The fourth proportional to 34,421.49, 51,544.76 and 31,534.65 is: 47,221.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,421.49 : 51,544.76 = 31,534.65 : x
  2. Step 2: Convert to fraction form
    34,421.49/51,544.76 = 31,534.65/x
  3. Step 3: Cross multiply
    34,421.49x = 51,544.76 × 31,534.65
  4. Step 4: Simplify right side
    34,421.49x = 1,625,445,808.26
  5. Step 5: Solve for x
    x = 1,625,445,808.26/34,421.49
  6. Step 6: Final answer
    x = 47,221.83

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