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Finding the Fourth Proportional to 49,855.84, 74,838.48 and 24,888.88

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Solution

The fourth proportional to 49,855.84, 74,838.48 and 24,888.88 is: 37,360.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,855.84 : 74,838.48 = 24,888.88 : x
  2. Step 2: Convert to fraction form
    49,855.84/74,838.48 = 24,888.88/x
  3. Step 3: Cross multiply
    49,855.84x = 74,838.48 × 24,888.88
  4. Step 4: Simplify right side
    49,855.84x = 1,862,645,948.10
  5. Step 5: Solve for x
    x = 1,862,645,948.10/49,855.84
  6. Step 6: Final answer
    x = 37,360.64

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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.