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Finding the Fourth Proportional to 34,658.40, 51,987.60 and 31,029.60

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Solution

The fourth proportional to 34,658.40, 51,987.60 and 31,029.60 is: 46,544.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,658.40 : 51,987.60 = 31,029.60 : x
  2. Step 2: Convert to fraction form
    34,658.40/51,987.60 = 31,029.60/x
  3. Step 3: Cross multiply
    34,658.40x = 51,987.60 × 31,029.60
  4. Step 4: Simplify right side
    34,658.40x = 1,613,154,432.96
  5. Step 5: Solve for x
    x = 1,613,154,432.96/34,658.40
  6. Step 6: Final answer
    x = 46,544.40

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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.