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Finding the Fourth Proportional to 103,257.66, 154,869.48 and 33,127.86

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Solution

The fourth proportional to 103,257.66, 154,869.48 and 33,127.86 is: 49,686.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,257.66 : 154,869.48 = 33,127.86 : x
  2. Step 2: Convert to fraction form
    103,257.66/154,869.48 = 33,127.86/x
  3. Step 3: Cross multiply
    103,257.66x = 154,869.48 × 33,127.86
  4. Step 4: Simplify right side
    103,257.66x = 5,130,494,451.71
  5. Step 5: Solve for x
    x = 5,130,494,451.71/103,257.66
  6. Step 6: Final answer
    x = 49,686.33

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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.