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Finding the Fourth Proportional to 81,916.76, 122,904.76 and 28,616.64

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Solution

The fourth proportional to 81,916.76, 122,904.76 and 28,616.64 is: 42,935.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,916.76 : 122,904.76 = 28,616.64 : x
  2. Step 2: Convert to fraction form
    81,916.76/122,904.76 = 28,616.64/x
  3. Step 3: Cross multiply
    81,916.76x = 122,904.76 × 28,616.64
  4. Step 4: Simplify right side
    81,916.76x = 3,517,121,271.21
  5. Step 5: Solve for x
    x = 3,517,121,271.21/81,916.76
  6. Step 6: Final answer
    x = 42,935.31

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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.