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Finding the Fourth Proportional to 31,400.84, 47,108.55 and 9,213.32

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Solution

The fourth proportional to 31,400.84, 47,108.55 and 9,213.32 is: 13,822.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,400.84 : 47,108.55 = 9,213.32 : x
  2. Step 2: Convert to fraction form
    31,400.84/47,108.55 = 9,213.32/x
  3. Step 3: Cross multiply
    31,400.84x = 47,108.55 × 9,213.32
  4. Step 4: Simplify right side
    31,400.84x = 434,026,145.89
  5. Step 5: Solve for x
    x = 434,026,145.89/31,400.84
  6. Step 6: Final answer
    x = 13,822.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.