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Finding the Fourth Proportional to 71,410.33, 106,964.80 and 57,293.93

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Solution

The fourth proportional to 71,410.33, 106,964.80 and 57,293.93 is: 85,819.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,410.33 : 106,964.80 = 57,293.93 : x
  2. Step 2: Convert to fraction form
    71,410.33/106,964.80 = 57,293.93/x
  3. Step 3: Cross multiply
    71,410.33x = 106,964.80 × 57,293.93
  4. Step 4: Simplify right side
    71,410.33x = 6,128,434,210.12
  5. Step 5: Solve for x
    x = 6,128,434,210.12/71,410.33
  6. Step 6: Final answer
    x = 85,819.99

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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.