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Finding the Fourth Proportional to 77,265.92, 115,916.92 and 23,955.08

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Solution

The fourth proportional to 77,265.92, 115,916.92 and 23,955.08 is: 35,938.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,265.92 : 115,916.92 = 23,955.08 : x
  2. Step 2: Convert to fraction form
    77,265.92/115,916.92 = 23,955.08/x
  3. Step 3: Cross multiply
    77,265.92x = 115,916.92 × 23,955.08
  4. Step 4: Simplify right side
    77,265.92x = 2,776,799,091.95
  5. Step 5: Solve for x
    x = 2,776,799,091.95/77,265.92
  6. Step 6: Final answer
    x = 35,938.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.