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Finding the Fourth Proportional to 31,280.16, 46,920.32 and 7,908.48

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Solution

The fourth proportional to 31,280.16, 46,920.32 and 7,908.48 is: 11,862.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,280.16 : 46,920.32 = 7,908.48 : x
  2. Step 2: Convert to fraction form
    31,280.16/46,920.32 = 7,908.48/x
  3. Step 3: Cross multiply
    31,280.16x = 46,920.32 × 7,908.48
  4. Step 4: Simplify right side
    31,280.16x = 371,068,412.31
  5. Step 5: Solve for x
    x = 371,068,412.31/31,280.16
  6. Step 6: Final answer
    x = 11,862.74

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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.