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Finding the Fourth Proportional to 39,752, 54,855.78 and 23,833.34

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Solution

The fourth proportional to 39,752, 54,855.78 and 23,833.34 is: 32,888.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,752 : 54,855.78 = 23,833.34 : x
  2. Step 2: Convert to fraction form
    39,752/54,855.78 = 23,833.34/x
  3. Step 3: Cross multiply
    39,752x = 54,855.78 × 23,833.34
  4. Step 4: Simplify right side
    39,752x = 1,307,396,455.71
  5. Step 5: Solve for x
    x = 1,307,396,455.71/39,752
  6. Step 6: Final answer
    x = 32,888.82

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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.