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Finding the Fourth Proportional to 66,284.16, 99,396.96 and 35,112

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Solution

The fourth proportional to 66,284.16, 99,396.96 and 35,112 is: 52,652.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,284.16 : 99,396.96 = 35,112 : x
  2. Step 2: Convert to fraction form
    66,284.16/99,396.96 = 35,112/x
  3. Step 3: Cross multiply
    66,284.16x = 99,396.96 × 35,112
  4. Step 4: Simplify right side
    66,284.16x = 3,490,026,059.52
  5. Step 5: Solve for x
    x = 3,490,026,059.52/66,284.16
  6. Step 6: Final answer
    x = 52,652.49

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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.