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Finding the Fourth Proportional to 34,098.66, 47,043.42 and 34,046.10

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Solution

The fourth proportional to 34,098.66, 47,043.42 and 34,046.10 is: 46,970.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,098.66 : 47,043.42 = 34,046.10 : x
  2. Step 2: Convert to fraction form
    34,098.66/47,043.42 = 34,046.10/x
  3. Step 3: Cross multiply
    34,098.66x = 47,043.42 × 34,046.10
  4. Step 4: Simplify right side
    34,098.66x = 1,601,644,981.66
  5. Step 5: Solve for x
    x = 1,601,644,981.66/34,098.66
  6. Step 6: Final answer
    x = 46,970.91

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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.