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Finding the Fourth Proportional to 49,822.81, 74,752.03 and 21,347.80

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Solution

The fourth proportional to 49,822.81, 74,752.03 and 21,347.80 is: 32,029.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,822.81 : 74,752.03 = 21,347.80 : x
  2. Step 2: Convert to fraction form
    49,822.81/74,752.03 = 21,347.80/x
  3. Step 3: Cross multiply
    49,822.81x = 74,752.03 × 21,347.80
  4. Step 4: Simplify right side
    49,822.81x = 1,595,791,386.03
  5. Step 5: Solve for x
    x = 1,595,791,386.03/49,822.81
  6. Step 6: Final answer
    x = 32,029.33

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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.