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Finding the Fourth Proportional to 54,831.92, 82,251.93 and 48,303.32

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Solution

The fourth proportional to 54,831.92, 82,251.93 and 48,303.32 is: 72,458.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,831.92 : 82,251.93 = 48,303.32 : x
  2. Step 2: Convert to fraction form
    54,831.92/82,251.93 = 48,303.32/x
  3. Step 3: Cross multiply
    54,831.92x = 82,251.93 × 48,303.32
  4. Step 4: Simplify right side
    54,831.92x = 3,973,041,295.41
  5. Step 5: Solve for x
    x = 3,973,041,295.41/54,831.92
  6. Step 6: Final answer
    x = 72,458.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.