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Finding the Fourth Proportional to 100,024.84, 149,933.58 and 47,394.28

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Solution

The fourth proportional to 100,024.84, 149,933.58 and 47,394.28 is: 71,042.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,024.84 : 149,933.58 = 47,394.28 : x
  2. Step 2: Convert to fraction form
    100,024.84/149,933.58 = 47,394.28/x
  3. Step 3: Cross multiply
    100,024.84x = 149,933.58 × 47,394.28
  4. Step 4: Simplify right side
    100,024.84x = 7,105,994,071.92
  5. Step 5: Solve for x
    x = 7,105,994,071.92/100,024.84
  6. Step 6: Final answer
    x = 71,042.29

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1.5x scale

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.