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Finding the Fourth Proportional to 55,732.90, 83,485.95 and 34,608.10

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Solution

The fourth proportional to 55,732.90, 83,485.95 and 34,608.10 is: 51,841.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,732.90 : 83,485.95 = 34,608.10 : x
  2. Step 2: Convert to fraction form
    55,732.90/83,485.95 = 34,608.10/x
  3. Step 3: Cross multiply
    55,732.90x = 83,485.95 × 34,608.10
  4. Step 4: Simplify right side
    55,732.90x = 2,889,290,106.20
  5. Step 5: Solve for x
    x = 2,889,290,106.20/55,732.90
  6. Step 6: Final answer
    x = 51,841.73

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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.