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Finding the Fourth Proportional to 37,831.82, 56,756.16 and 11,538.62

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Solution

The fourth proportional to 37,831.82, 56,756.16 and 11,538.62 is: 17,310.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,831.82 : 56,756.16 = 11,538.62 : x
  2. Step 2: Convert to fraction form
    37,831.82/56,756.16 = 11,538.62/x
  3. Step 3: Cross multiply
    37,831.82x = 56,756.16 × 11,538.62
  4. Step 4: Simplify right side
    37,831.82x = 654,887,762.90
  5. Step 5: Solve for x
    x = 654,887,762.90/37,831.82
  6. Step 6: Final answer
    x = 17,310.50

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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.