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Finding the Fourth Proportional to 31,465.76, 43,421.15 and 17,315.87

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Solution

The fourth proportional to 31,465.76, 43,421.15 and 17,315.87 is: 23,895.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,465.76 : 43,421.15 = 17,315.87 : x
  2. Step 2: Convert to fraction form
    31,465.76/43,421.15 = 17,315.87/x
  3. Step 3: Cross multiply
    31,465.76x = 43,421.15 × 17,315.87
  4. Step 4: Simplify right side
    31,465.76x = 751,874,902.07
  5. Step 5: Solve for x
    x = 751,874,902.07/31,465.76
  6. Step 6: Final answer
    x = 23,895.02

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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.