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Finding the Fourth Proportional to 37,148.58, 55,731.15 and 17,416.62

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Solution

The fourth proportional to 37,148.58, 55,731.15 and 17,416.62 is: 26,128.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,148.58 : 55,731.15 = 17,416.62 : x
  2. Step 2: Convert to fraction form
    37,148.58/55,731.15 = 17,416.62/x
  3. Step 3: Cross multiply
    37,148.58x = 55,731.15 × 17,416.62
  4. Step 4: Simplify right side
    37,148.58x = 970,648,261.71
  5. Step 5: Solve for x
    x = 970,648,261.71/37,148.58
  6. Step 6: Final answer
    x = 26,128.81

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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.