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Finding the Fourth Proportional to 66,257.64, 99,403.74 and 24,705

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Solution

The fourth proportional to 66,257.64, 99,403.74 and 24,705 is: 37,063.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,257.64 : 99,403.74 = 24,705 : x
  2. Step 2: Convert to fraction form
    66,257.64/99,403.74 = 24,705/x
  3. Step 3: Cross multiply
    66,257.64x = 99,403.74 × 24,705
  4. Step 4: Simplify right side
    66,257.64x = 2,455,769,396.70
  5. Step 5: Solve for x
    x = 2,455,769,396.70/66,257.64
  6. Step 6: Final answer
    x = 37,063.94

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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.