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Finding the Fourth Proportional to 38,614.11, 53,300.61 and 22,703.28

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Solution

The fourth proportional to 38,614.11, 53,300.61 and 22,703.28 is: 31,338.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,614.11 : 53,300.61 = 22,703.28 : x
  2. Step 2: Convert to fraction form
    38,614.11/53,300.61 = 22,703.28/x
  3. Step 3: Cross multiply
    38,614.11x = 53,300.61 × 22,703.28
  4. Step 4: Simplify right side
    38,614.11x = 1,210,098,673.00
  5. Step 5: Solve for x
    x = 1,210,098,673.00/38,614.11
  6. Step 6: Final answer
    x = 31,338.25

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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.