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Finding the Fourth Proportional to 31,280.60, 46,921.22 and 12,307.16

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Solution

The fourth proportional to 31,280.60, 46,921.22 and 12,307.16 is: 18,460.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,280.60 : 46,921.22 = 12,307.16 : x
  2. Step 2: Convert to fraction form
    31,280.60/46,921.22 = 12,307.16/x
  3. Step 3: Cross multiply
    31,280.60x = 46,921.22 × 12,307.16
  4. Step 4: Simplify right side
    31,280.60x = 577,466,961.94
  5. Step 5: Solve for x
    x = 577,466,961.94/31,280.60
  6. Step 6: Final answer
    x = 18,460.87

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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.