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Finding the Fourth Proportional to 55,885.41, 83,828.10 and 14,332.41

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Solution

The fourth proportional to 55,885.41, 83,828.10 and 14,332.41 is: 21,498.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,885.41 : 83,828.10 = 14,332.41 : x
  2. Step 2: Convert to fraction form
    55,885.41/83,828.10 = 14,332.41/x
  3. Step 3: Cross multiply
    55,885.41x = 83,828.10 × 14,332.41
  4. Step 4: Simplify right side
    55,885.41x = 1,201,458,698.72
  5. Step 5: Solve for x
    x = 1,201,458,698.72/55,885.41
  6. Step 6: Final answer
    x = 21,498.61

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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.