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Finding the Fourth Proportional to 34,655.48, 47,840.46 and 22,719.32

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Solution

The fourth proportional to 34,655.48, 47,840.46 and 22,719.32 is: 31,363.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,655.48 : 47,840.46 = 22,719.32 : x
  2. Step 2: Convert to fraction form
    34,655.48/47,840.46 = 22,719.32/x
  3. Step 3: Cross multiply
    34,655.48x = 47,840.46 × 22,719.32
  4. Step 4: Simplify right side
    34,655.48x = 1,086,902,719.69
  5. Step 5: Solve for x
    x = 1,086,902,719.69/34,655.48
  6. Step 6: Final answer
    x = 31,363.08

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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.