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Finding the Fourth Proportional to 55,699.63, 83,530 and 22,411.06

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Solution

The fourth proportional to 55,699.63, 83,530 and 22,411.06 is: 33,608.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,699.63 : 83,530 = 22,411.06 : x
  2. Step 2: Convert to fraction form
    55,699.63/83,530 = 22,411.06/x
  3. Step 3: Cross multiply
    55,699.63x = 83,530 × 22,411.06
  4. Step 4: Simplify right side
    55,699.63x = 1,871,995,841.80
  5. Step 5: Solve for x
    x = 1,871,995,841.80/55,699.63
  6. Step 6: Final answer
    x = 33,608.77

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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.