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Finding the Fourth Proportional to 31,113.64, 42,937.86 and 16,967.26

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Solution

The fourth proportional to 31,113.64, 42,937.86 and 16,967.26 is: 23,415.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,113.64 : 42,937.86 = 16,967.26 : x
  2. Step 2: Convert to fraction form
    31,113.64/42,937.86 = 16,967.26/x
  3. Step 3: Cross multiply
    31,113.64x = 42,937.86 × 16,967.26
  4. Step 4: Simplify right side
    31,113.64x = 728,537,834.46
  5. Step 5: Solve for x
    x = 728,537,834.46/31,113.64
  6. Step 6: Final answer
    x = 23,415.38

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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.