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Finding the Fourth Proportional to 66,334.24, 99,498.12 and 24,778

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Solution

The fourth proportional to 66,334.24, 99,498.12 and 24,778 is: 37,165.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,334.24 : 99,498.12 = 24,778 : x
  2. Step 2: Convert to fraction form
    66,334.24/99,498.12 = 24,778/x
  3. Step 3: Cross multiply
    66,334.24x = 99,498.12 × 24,778
  4. Step 4: Simplify right side
    66,334.24x = 2,465,364,417.36
  5. Step 5: Solve for x
    x = 2,465,364,417.36/66,334.24
  6. Step 6: Final answer
    x = 37,165.79

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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.