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Finding the Fourth Proportional to 38,203.13, 52,710.93 and 22,892.14

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Solution

The fourth proportional to 38,203.13, 52,710.93 and 22,892.14 is: 31,585.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,203.13 : 52,710.93 = 22,892.14 : x
  2. Step 2: Convert to fraction form
    38,203.13/52,710.93 = 22,892.14/x
  3. Step 3: Cross multiply
    38,203.13x = 52,710.93 × 22,892.14
  4. Step 4: Simplify right side
    38,203.13x = 1,206,666,054.98
  5. Step 5: Solve for x
    x = 1,206,666,054.98/38,203.13
  6. Step 6: Final answer
    x = 31,585.53

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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.