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Finding the Fourth Proportional to 31,095.80, 46,643.70 and 10,319.30

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Solution

The fourth proportional to 31,095.80, 46,643.70 and 10,319.30 is: 15,478.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,095.80 : 46,643.70 = 10,319.30 : x
  2. Step 2: Convert to fraction form
    31,095.80/46,643.70 = 10,319.30/x
  3. Step 3: Cross multiply
    31,095.80x = 46,643.70 × 10,319.30
  4. Step 4: Simplify right side
    31,095.80x = 481,330,333.41
  5. Step 5: Solve for x
    x = 481,330,333.41/31,095.80
  6. Step 6: Final answer
    x = 15,478.95

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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.