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Finding the Fourth Proportional to 72,998, 100,737.28 and 39,464

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Solution

The fourth proportional to 72,998, 100,737.28 and 39,464 is: 54,460.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,998 : 100,737.28 = 39,464 : x
  2. Step 2: Convert to fraction form
    72,998/100,737.28 = 39,464/x
  3. Step 3: Cross multiply
    72,998x = 100,737.28 × 39,464
  4. Step 4: Simplify right side
    72,998x = 3,975,496,017.92
  5. Step 5: Solve for x
    x = 3,975,496,017.92/72,998
  6. Step 6: Final answer
    x = 54,460.34

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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.