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Finding the Fourth Proportional to 34,378.93, 47,453.01 and 22,444.05

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Solution

The fourth proportional to 34,378.93, 47,453.01 and 22,444.05 is: 30,979.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,378.93 : 47,453.01 = 22,444.05 : x
  2. Step 2: Convert to fraction form
    34,378.93/47,453.01 = 22,444.05/x
  3. Step 3: Cross multiply
    34,378.93x = 47,453.01 × 22,444.05
  4. Step 4: Simplify right side
    34,378.93x = 1,065,037,822.87
  5. Step 5: Solve for x
    x = 1,065,037,822.87/34,378.93
  6. Step 6: Final answer
    x = 30,979.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.