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Finding the Fourth Proportional to 49,506.84, 74,263.78 and 19,924.84

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Solution

The fourth proportional to 49,506.84, 74,263.78 and 19,924.84 is: 29,888.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,506.84 : 74,263.78 = 19,924.84 : x
  2. Step 2: Convert to fraction form
    49,506.84/74,263.78 = 19,924.84/x
  3. Step 3: Cross multiply
    49,506.84x = 74,263.78 × 19,924.84
  4. Step 4: Simplify right side
    49,506.84x = 1,479,693,934.30
  5. Step 5: Solve for x
    x = 1,479,693,934.30/49,506.84
  6. Step 6: Final answer
    x = 29,888.68

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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.