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Finding the Fourth Proportional to 31,117.38, 42,941.98 and 16,970.32

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Solution

The fourth proportional to 31,117.38, 42,941.98 and 16,970.32 is: 23,419.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,117.38 : 42,941.98 = 16,970.32 : x
  2. Step 2: Convert to fraction form
    31,117.38/42,941.98 = 16,970.32/x
  3. Step 3: Cross multiply
    31,117.38x = 42,941.98 × 16,970.32
  4. Step 4: Simplify right side
    31,117.38x = 728,739,142.03
  5. Step 5: Solve for x
    x = 728,739,142.03/31,117.38
  6. Step 6: Final answer
    x = 23,419.04

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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.