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Finding the Fourth Proportional to 55,701, 83,430.48 and 34,288.44

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Solution

The fourth proportional to 55,701, 83,430.48 and 34,288.44 is: 51,358.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,701 : 83,430.48 = 34,288.44 : x
  2. Step 2: Convert to fraction form
    55,701/83,430.48 = 34,288.44/x
  3. Step 3: Cross multiply
    55,701x = 83,430.48 × 34,288.44
  4. Step 4: Simplify right side
    55,701x = 2,860,701,007.65
  5. Step 5: Solve for x
    x = 2,860,701,007.65/55,701
  6. Step 6: Final answer
    x = 51,358.16

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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.