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Finding the Fourth Proportional to 55,730.64, 83,900 and 50,831.76

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Solution

The fourth proportional to 55,730.64, 83,900 and 50,831.76 is: 76,524.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,730.64 : 83,900 = 50,831.76 : x
  2. Step 2: Convert to fraction form
    55,730.64/83,900 = 50,831.76/x
  3. Step 3: Cross multiply
    55,730.64x = 83,900 × 50,831.76
  4. Step 4: Simplify right side
    55,730.64x = 4,264,784,664
  5. Step 5: Solve for x
    x = 4,264,784,664/55,730.64
  6. Step 6: Final answer
    x = 76,524.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.