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Finding the Fourth Proportional to 82,957.64, 124,436.95 and 20,628.14

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Solution

The fourth proportional to 82,957.64, 124,436.95 and 20,628.14 is: 30,942.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,957.64 : 124,436.95 = 20,628.14 : x
  2. Step 2: Convert to fraction form
    82,957.64/124,436.95 = 20,628.14/x
  3. Step 3: Cross multiply
    82,957.64x = 124,436.95 × 20,628.14
  4. Step 4: Simplify right side
    82,957.64x = 2,566,902,152.02
  5. Step 5: Solve for x
    x = 2,566,902,152.02/82,957.64
  6. Step 6: Final answer
    x = 30,942.33

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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.