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Finding the Fourth Proportional to 30,831.05, 46,246.58 and 7,457.49

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Solution

The fourth proportional to 30,831.05, 46,246.58 and 7,457.49 is: 11,186.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,831.05 : 46,246.58 = 7,457.49 : x
  2. Step 2: Convert to fraction form
    30,831.05/46,246.58 = 7,457.49/x
  3. Step 3: Cross multiply
    30,831.05x = 46,246.58 × 7,457.49
  4. Step 4: Simplify right side
    30,831.05x = 344,883,370.60
  5. Step 5: Solve for x
    x = 344,883,370.60/30,831.05
  6. Step 6: Final answer
    x = 11,186.24

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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.