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Finding the Fourth Proportional to 22,048.95, 33,062.09 and 6,464.55

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Solution

The fourth proportional to 22,048.95, 33,062.09 and 6,464.55 is: 9,693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,048.95 : 33,062.09 = 6,464.55 : x
  2. Step 2: Convert to fraction form
    22,048.95/33,062.09 = 6,464.55/x
  3. Step 3: Cross multiply
    22,048.95x = 33,062.09 × 6,464.55
  4. Step 4: Simplify right side
    22,048.95x = 213,731,501.59
  5. Step 5: Solve for x
    x = 213,731,501.59/22,048.95
  6. Step 6: Final answer
    x = 9,693.50

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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.