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Finding the Fourth Proportional to 52,705.28, 72,732.69 and 28,831.67

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Solution

The fourth proportional to 52,705.28, 72,732.69 and 28,831.67 is: 39,787.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,705.28 : 72,732.69 = 28,831.67 : x
  2. Step 2: Convert to fraction form
    52,705.28/72,732.69 = 28,831.67/x
  3. Step 3: Cross multiply
    52,705.28x = 72,732.69 × 28,831.67
  4. Step 4: Simplify right side
    52,705.28x = 2,097,004,552.63
  5. Step 5: Solve for x
    x = 2,097,004,552.63/52,705.28
  6. Step 6: Final answer
    x = 39,787.38

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Why These Related Problems?

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