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Finding the Fourth Proportional to 37,670, 56,503.64 and 11,374.06

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Solution

The fourth proportional to 37,670, 56,503.64 and 11,374.06 is: 17,060.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,670 : 56,503.64 = 11,374.06 : x
  2. Step 2: Convert to fraction form
    37,670/56,503.64 = 11,374.06/x
  3. Step 3: Cross multiply
    37,670x = 56,503.64 × 11,374.06
  4. Step 4: Simplify right side
    37,670x = 642,675,791.58
  5. Step 5: Solve for x
    x = 642,675,791.58/37,670
  6. Step 6: Final answer
    x = 17,060.68

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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.