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Finding the Fourth Proportional to 31,095.60, 46,643.40 and 30,658.20

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Solution

The fourth proportional to 31,095.60, 46,643.40 and 30,658.20 is: 45,987.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,095.60 : 46,643.40 = 30,658.20 : x
  2. Step 2: Convert to fraction form
    31,095.60/46,643.40 = 30,658.20/x
  3. Step 3: Cross multiply
    31,095.60x = 46,643.40 × 30,658.20
  4. Step 4: Simplify right side
    31,095.60x = 1,430,002,685.88
  5. Step 5: Solve for x
    x = 1,430,002,685.88/31,095.60
  6. Step 6: Final answer
    x = 45,987.30

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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.