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Finding the Fourth Proportional to 66,235.26, 99,415.44 and 24,156

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Solution

The fourth proportional to 66,235.26, 99,415.44 and 24,156 is: 36,256.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,235.26 : 99,415.44 = 24,156 : x
  2. Step 2: Convert to fraction form
    66,235.26/99,415.44 = 24,156/x
  3. Step 3: Cross multiply
    66,235.26x = 99,415.44 × 24,156
  4. Step 4: Simplify right side
    66,235.26x = 2,401,479,368.64
  5. Step 5: Solve for x
    x = 2,401,479,368.64/66,235.26
  6. Step 6: Final answer
    x = 36,256.81

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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.