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Finding the Fourth Proportional to 34,235.46, 47,258.64 and 22,309.02

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Solution

The fourth proportional to 34,235.46, 47,258.64 and 22,309.02 is: 30,795.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,235.46 : 47,258.64 = 22,309.02 : x
  2. Step 2: Convert to fraction form
    34,235.46/47,258.64 = 22,309.02/x
  3. Step 3: Cross multiply
    34,235.46x = 47,258.64 × 22,309.02
  4. Step 4: Simplify right side
    34,235.46x = 1,054,293,944.93
  5. Step 5: Solve for x
    x = 1,054,293,944.93/34,235.46
  6. Step 6: Final answer
    x = 30,795.38

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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.