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Finding the Fourth Proportional to 57,199.58, 78,866.78 and 49,228.10

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Solution

The fourth proportional to 57,199.58, 78,866.78 and 49,228.10 is: 67,875.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,199.58 : 78,866.78 = 49,228.10 : x
  2. Step 2: Convert to fraction form
    57,199.58/78,866.78 = 49,228.10/x
  3. Step 3: Cross multiply
    57,199.58x = 78,866.78 × 49,228.10
  4. Step 4: Simplify right side
    57,199.58x = 3,882,461,732.52
  5. Step 5: Solve for x
    x = 3,882,461,732.52/57,199.58
  6. Step 6: Final answer
    x = 67,875.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.