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Finding the Fourth Proportional to 55,373.70, 83,020.32 and 22,083.78

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Solution

The fourth proportional to 55,373.70, 83,020.32 and 22,083.78 is: 33,109.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,373.70 : 83,020.32 = 22,083.78 : x
  2. Step 2: Convert to fraction form
    55,373.70/83,020.32 = 22,083.78/x
  3. Step 3: Cross multiply
    55,373.70x = 83,020.32 × 22,083.78
  4. Step 4: Simplify right side
    55,373.70x = 1,833,402,482.41
  5. Step 5: Solve for x
    x = 1,833,402,482.41/55,373.70
  6. Step 6: Final answer
    x = 33,109.63

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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.