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Finding the Fourth Proportional to 38,448.36, 53,060.58 and 21,681

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Solution

The fourth proportional to 38,448.36, 53,060.58 and 21,681 is: 29,920.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,448.36 : 53,060.58 = 21,681 : x
  2. Step 2: Convert to fraction form
    38,448.36/53,060.58 = 21,681/x
  3. Step 3: Cross multiply
    38,448.36x = 53,060.58 × 21,681
  4. Step 4: Simplify right side
    38,448.36x = 1,150,406,434.98
  5. Step 5: Solve for x
    x = 1,150,406,434.98/38,448.36
  6. Step 6: Final answer
    x = 29,920.82

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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.