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Finding the Fourth Proportional to 101,536.38, 152,324.01 and 31,403.34

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Solution

The fourth proportional to 101,536.38, 152,324.01 and 31,403.34 is: 47,111.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,536.38 : 152,324.01 = 31,403.34 : x
  2. Step 2: Convert to fraction form
    101,536.38/152,324.01 = 31,403.34/x
  3. Step 3: Cross multiply
    101,536.38x = 152,324.01 × 31,403.34
  4. Step 4: Simplify right side
    101,536.38x = 4,783,482,676.19
  5. Step 5: Solve for x
    x = 4,783,482,676.19/101,536.38
  6. Step 6: Final answer
    x = 47,111.02

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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.