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Finding the Fourth Proportional to 82,831.71, 114,308.31 and 47,022.32

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Solution

The fourth proportional to 82,831.71, 114,308.31 and 47,022.32 is: 64,891.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,831.71 : 114,308.31 = 47,022.32 : x
  2. Step 2: Convert to fraction form
    82,831.71/114,308.31 = 47,022.32/x
  3. Step 3: Cross multiply
    82,831.71x = 114,308.31 × 47,022.32
  4. Step 4: Simplify right side
    82,831.71x = 5,375,041,931.48
  5. Step 5: Solve for x
    x = 5,375,041,931.48/82,831.71
  6. Step 6: Final answer
    x = 64,891.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.