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Finding the Fourth Proportional to 31,176.96, 42,991.47 and 20,553

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Solution

The fourth proportional to 31,176.96, 42,991.47 and 20,553 is: 28,341.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,176.96 : 42,991.47 = 20,553 : x
  2. Step 2: Convert to fraction form
    31,176.96/42,991.47 = 20,553/x
  3. Step 3: Cross multiply
    31,176.96x = 42,991.47 × 20,553
  4. Step 4: Simplify right side
    31,176.96x = 883,603,682.91
  5. Step 5: Solve for x
    x = 883,603,682.91/31,176.96
  6. Step 6: Final answer
    x = 28,341.56

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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.