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Finding the Fourth Proportional to 72,311.70, 99,787.23 and 42,097.89

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Solution

The fourth proportional to 72,311.70, 99,787.23 and 42,097.89 is: 58,093.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,311.70 : 99,787.23 = 42,097.89 : x
  2. Step 2: Convert to fraction form
    72,311.70/99,787.23 = 42,097.89/x
  3. Step 3: Cross multiply
    72,311.70x = 99,787.23 × 42,097.89
  4. Step 4: Simplify right side
    72,311.70x = 4,200,831,831.94
  5. Step 5: Solve for x
    x = 4,200,831,831.94/72,311.70
  6. Step 6: Final answer
    x = 58,093.39

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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.