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Finding the Fourth Proportional to 37,657, 56,411.98 and 17,908.36

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Solution

The fourth proportional to 37,657, 56,411.98 and 17,908.36 is: 26,827.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,657 : 56,411.98 = 17,908.36 : x
  2. Step 2: Convert to fraction form
    37,657/56,411.98 = 17,908.36/x
  3. Step 3: Cross multiply
    37,657x = 56,411.98 × 17,908.36
  4. Step 4: Simplify right side
    37,657x = 1,010,246,046.15
  5. Step 5: Solve for x
    x = 1,010,246,046.15/37,657
  6. Step 6: Final answer
    x = 26,827.58

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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.