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Finding the Fourth Proportional to 31,117.68, 42,941.88 and 16,969.68

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Solution

The fourth proportional to 31,117.68, 42,941.88 and 16,969.68 is: 23,417.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,117.68 : 42,941.88 = 16,969.68 : x
  2. Step 2: Convert to fraction form
    31,117.68/42,941.88 = 16,969.68/x
  3. Step 3: Cross multiply
    31,117.68x = 42,941.88 × 16,969.68
  4. Step 4: Simplify right side
    31,117.68x = 728,709,962.20
  5. Step 5: Solve for x
    x = 728,709,962.20/31,117.68
  6. Step 6: Final answer
    x = 23,417.88

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