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Finding the Fourth Proportional to 38,658.76, 53,349.78 and 21,895.24

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Solution

The fourth proportional to 38,658.76, 53,349.78 and 21,895.24 is: 30,215.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,658.76 : 53,349.78 = 21,895.24 : x
  2. Step 2: Convert to fraction form
    38,658.76/53,349.78 = 21,895.24/x
  3. Step 3: Cross multiply
    38,658.76x = 53,349.78 × 21,895.24
  4. Step 4: Simplify right side
    38,658.76x = 1,168,106,237.05
  5. Step 5: Solve for x
    x = 1,168,106,237.05/38,658.76
  6. Step 6: Final answer
    x = 30,215.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.