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Finding the Fourth Proportional to 38,474.16, 53,095.72 and 22,340.26

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Solution

The fourth proportional to 38,474.16, 53,095.72 and 22,340.26 is: 30,830.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,474.16 : 53,095.72 = 22,340.26 : x
  2. Step 2: Convert to fraction form
    38,474.16/53,095.72 = 22,340.26/x
  3. Step 3: Cross multiply
    38,474.16x = 53,095.72 × 22,340.26
  4. Step 4: Simplify right side
    38,474.16x = 1,186,172,189.69
  5. Step 5: Solve for x
    x = 1,186,172,189.69/38,474.16
  6. Step 6: Final answer
    x = 30,830.36

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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.