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Finding the Fourth Proportional to 55,852.67, 83,838.70 and 22,594.48

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Solution

The fourth proportional to 55,852.67, 83,838.70 and 22,594.48 is: 33,915.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,852.67 : 83,838.70 = 22,594.48 : x
  2. Step 2: Convert to fraction form
    55,852.67/83,838.70 = 22,594.48/x
  3. Step 3: Cross multiply
    55,852.67x = 83,838.70 × 22,594.48
  4. Step 4: Simplify right side
    55,852.67x = 1,894,291,669.09
  5. Step 5: Solve for x
    x = 1,894,291,669.09/55,852.67
  6. Step 6: Final answer
    x = 33,915.86

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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.