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Finding the Fourth Proportional to 34,098.17, 47,042.73 and 34,045.60

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Solution

The fourth proportional to 34,098.17, 47,042.73 and 34,045.60 is: 46,970.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,098.17 : 47,042.73 = 34,045.60 : x
  2. Step 2: Convert to fraction form
    34,098.17/47,042.73 = 34,045.60/x
  3. Step 3: Cross multiply
    34,098.17x = 47,042.73 × 34,045.60
  4. Step 4: Simplify right side
    34,098.17x = 1,601,597,733.27
  5. Step 5: Solve for x
    x = 1,601,597,733.27/34,098.17
  6. Step 6: Final answer
    x = 46,970.20

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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.