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Finding the Fourth Proportional to 31,230.27, 46,852.91 and 9,045.18

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Solution

The fourth proportional to 31,230.27, 46,852.91 and 9,045.18 is: 13,569.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,230.27 : 46,852.91 = 9,045.18 : x
  2. Step 2: Convert to fraction form
    31,230.27/46,852.91 = 9,045.18/x
  3. Step 3: Cross multiply
    31,230.27x = 46,852.91 × 9,045.18
  4. Step 4: Simplify right side
    31,230.27x = 423,792,959.25
  5. Step 5: Solve for x
    x = 423,792,959.25/31,230.27
  6. Step 6: Final answer
    x = 13,569.94

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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.