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Finding the Fourth Proportional to 31,302.47, 46,894.88 and 15,489.16

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Solution

The fourth proportional to 31,302.47, 46,894.88 and 15,489.16 is: 23,204.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,302.47 : 46,894.88 = 15,489.16 : x
  2. Step 2: Convert to fraction form
    31,302.47/46,894.88 = 15,489.16/x
  3. Step 3: Cross multiply
    31,302.47x = 46,894.88 × 15,489.16
  4. Step 4: Simplify right side
    31,302.47x = 726,362,220.99
  5. Step 5: Solve for x
    x = 726,362,220.99/31,302.47
  6. Step 6: Final answer
    x = 23,204.63

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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.