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Finding the Fourth Proportional to 37,657.29, 56,484.44 and 12,696.78

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Solution

The fourth proportional to 37,657.29, 56,484.44 and 12,696.78 is: 19,044.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,657.29 : 56,484.44 = 12,696.78 : x
  2. Step 2: Convert to fraction form
    37,657.29/56,484.44 = 12,696.78/x
  3. Step 3: Cross multiply
    37,657.29x = 56,484.44 × 12,696.78
  4. Step 4: Simplify right side
    37,657.29x = 717,170,444.62
  5. Step 5: Solve for x
    x = 717,170,444.62/37,657.29
  6. Step 6: Final answer
    x = 19,044.66

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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.