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Finding the Fourth Proportional to 31,129.40, 46,621.20 and 19,319.60

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Solution

The fourth proportional to 31,129.40, 46,621.20 and 19,319.60 is: 28,934.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,129.40 : 46,621.20 = 19,319.60 : x
  2. Step 2: Convert to fraction form
    31,129.40/46,621.20 = 19,319.60/x
  3. Step 3: Cross multiply
    31,129.40x = 46,621.20 × 19,319.60
  4. Step 4: Simplify right side
    31,129.40x = 900,702,935.52
  5. Step 5: Solve for x
    x = 900,702,935.52/31,129.40
  6. Step 6: Final answer
    x = 28,934.16

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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.