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Finding the Fourth Proportional to 31,398.36, 47,097.54 and 8,024.76

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Solution

The fourth proportional to 31,398.36, 47,097.54 and 8,024.76 is: 12,037.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,398.36 : 47,097.54 = 8,024.76 : x
  2. Step 2: Convert to fraction form
    31,398.36/47,097.54 = 8,024.76/x
  3. Step 3: Cross multiply
    31,398.36x = 47,097.54 × 8,024.76
  4. Step 4: Simplify right side
    31,398.36x = 377,946,455.09
  5. Step 5: Solve for x
    x = 377,946,455.09/31,398.36
  6. Step 6: Final answer
    x = 12,037.14

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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.