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Finding the Fourth Proportional to 34,464.69, 47,549.16 and 22,535.01

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Solution

The fourth proportional to 34,464.69, 47,549.16 and 22,535.01 is: 31,090.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,464.69 : 47,549.16 = 22,535.01 : x
  2. Step 2: Convert to fraction form
    34,464.69/47,549.16 = 22,535.01/x
  3. Step 3: Cross multiply
    34,464.69x = 47,549.16 × 22,535.01
  4. Step 4: Simplify right side
    34,464.69x = 1,071,520,796.09
  5. Step 5: Solve for x
    x = 1,071,520,796.09/34,464.69
  6. Step 6: Final answer
    x = 31,090.39

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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.