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Finding the Fourth Proportional to 102,213.64, 153,264.82 and 35,635.87

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Solution

The fourth proportional to 102,213.64, 153,264.82 and 35,635.87 is: 53,434.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,213.64 : 153,264.82 = 35,635.87 : x
  2. Step 2: Convert to fraction form
    102,213.64/153,264.82 = 35,635.87/x
  3. Step 3: Cross multiply
    102,213.64x = 153,264.82 × 35,635.87
  4. Step 4: Simplify right side
    102,213.64x = 5,461,725,201.09
  5. Step 5: Solve for x
    x = 5,461,725,201.09/102,213.64
  6. Step 6: Final answer
    x = 53,434.41

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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.