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Finding the Fourth Proportional to 31,832.76, 47,515.47 and 29,487

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Solution

The fourth proportional to 31,832.76, 47,515.47 and 29,487 is: 44,014.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,832.76 : 47,515.47 = 29,487 : x
  2. Step 2: Convert to fraction form
    31,832.76/47,515.47 = 29,487/x
  3. Step 3: Cross multiply
    31,832.76x = 47,515.47 × 29,487
  4. Step 4: Simplify right side
    31,832.76x = 1,401,088,663.89
  5. Step 5: Solve for x
    x = 1,401,088,663.89/31,832.76
  6. Step 6: Final answer
    x = 44,014.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.