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Finding the Fourth Proportional to 31,848.92, 43,953 and 17,702

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Solution

The fourth proportional to 31,848.92, 43,953 and 17,702 is: 24,429.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,848.92 : 43,953 = 17,702 : x
  2. Step 2: Convert to fraction form
    31,848.92/43,953 = 17,702/x
  3. Step 3: Cross multiply
    31,848.92x = 43,953 × 17,702
  4. Step 4: Simplify right side
    31,848.92x = 778,056,006
  5. Step 5: Solve for x
    x = 778,056,006/31,848.92
  6. Step 6: Final answer
    x = 24,429.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.