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Finding the Fourth Proportional to 52,146.71, 78,243.69 and 22,169.08

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Solution

The fourth proportional to 52,146.71, 78,243.69 and 22,169.08 is: 33,263.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,146.71 : 78,243.69 = 22,169.08 : x
  2. Step 2: Convert to fraction form
    52,146.71/78,243.69 = 22,169.08/x
  3. Step 3: Cross multiply
    52,146.71x = 78,243.69 × 22,169.08
  4. Step 4: Simplify right side
    52,146.71x = 1,734,590,623.11
  5. Step 5: Solve for x
    x = 1,734,590,623.11/52,146.71
  6. Step 6: Final answer
    x = 33,263.66

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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.