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Finding the Fourth Proportional to 31,200.84, 46,760.76 and 23,778

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Solution

The fourth proportional to 31,200.84, 46,760.76 and 23,778 is: 35,636.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,200.84 : 46,760.76 = 23,778 : x
  2. Step 2: Convert to fraction form
    31,200.84/46,760.76 = 23,778/x
  3. Step 3: Cross multiply
    31,200.84x = 46,760.76 × 23,778
  4. Step 4: Simplify right side
    31,200.84x = 1,111,877,351.28
  5. Step 5: Solve for x
    x = 1,111,877,351.28/31,200.84
  6. Step 6: Final answer
    x = 35,636.14

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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.