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Finding the Fourth Proportional to 55,466, 83,200.08 and 18,530

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Solution

The fourth proportional to 55,466, 83,200.08 and 18,530 is: 27,795.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,466 : 83,200.08 = 18,530 : x
  2. Step 2: Convert to fraction form
    55,466/83,200.08 = 18,530/x
  3. Step 3: Cross multiply
    55,466x = 83,200.08 × 18,530
  4. Step 4: Simplify right side
    55,466x = 1,541,697,482.40
  5. Step 5: Solve for x
    x = 1,541,697,482.40/55,466
  6. Step 6: Final answer
    x = 27,795.36

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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.