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Finding the Fourth Proportional to 34,422.93, 47,415.15 and 24,334.02

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Solution

The fourth proportional to 34,422.93, 47,415.15 and 24,334.02 is: 33,518.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,422.93 : 47,415.15 = 24,334.02 : x
  2. Step 2: Convert to fraction form
    34,422.93/47,415.15 = 24,334.02/x
  3. Step 3: Cross multiply
    34,422.93x = 47,415.15 × 24,334.02
  4. Step 4: Simplify right side
    34,422.93x = 1,153,801,208.40
  5. Step 5: Solve for x
    x = 1,153,801,208.40/34,422.93
  6. Step 6: Final answer
    x = 33,518.39

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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.