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Finding the Fourth Proportional to 31,005.76, 42,771.36 and 21,557.92

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Solution

The fourth proportional to 31,005.76, 42,771.36 and 21,557.92 is: 29,738.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,005.76 : 42,771.36 = 21,557.92 : x
  2. Step 2: Convert to fraction form
    31,005.76/42,771.36 = 21,557.92/x
  3. Step 3: Cross multiply
    31,005.76x = 42,771.36 × 21,557.92
  4. Step 4: Simplify right side
    31,005.76x = 922,061,557.17
  5. Step 5: Solve for x
    x = 922,061,557.17/31,005.76
  6. Step 6: Final answer
    x = 29,738.40

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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.