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Finding the Fourth Proportional to 35,486.91, 53,073.45 and 31,565.70

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Solution

The fourth proportional to 35,486.91, 53,073.45 and 31,565.70 is: 47,208.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,486.91 : 53,073.45 = 31,565.70 : x
  2. Step 2: Convert to fraction form
    35,486.91/53,073.45 = 31,565.70/x
  3. Step 3: Cross multiply
    35,486.91x = 53,073.45 × 31,565.70
  4. Step 4: Simplify right side
    35,486.91x = 1,675,300,600.67
  5. Step 5: Solve for x
    x = 1,675,300,600.67/35,486.91
  6. Step 6: Final answer
    x = 47,208.97

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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.