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Finding the Fourth Proportional to 102,182.31, 153,274.32 and 35,622.31

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Solution

The fourth proportional to 102,182.31, 153,274.32 and 35,622.31 is: 53,433.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,182.31 : 153,274.32 = 35,622.31 : x
  2. Step 2: Convert to fraction form
    102,182.31/153,274.32 = 35,622.31/x
  3. Step 3: Cross multiply
    102,182.31x = 153,274.32 × 35,622.31
  4. Step 4: Simplify right side
    102,182.31x = 5,459,985,342.08
  5. Step 5: Solve for x
    x = 5,459,985,342.08/102,182.31
  6. Step 6: Final answer
    x = 53,433.76

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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.