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Finding the Fourth Proportional to 31,154.64, 42,992.01 and 17,007.72

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Solution

The fourth proportional to 31,154.64, 42,992.01 and 17,007.72 is: 23,469.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,154.64 : 42,992.01 = 17,007.72 : x
  2. Step 2: Convert to fraction form
    31,154.64/42,992.01 = 17,007.72/x
  3. Step 3: Cross multiply
    31,154.64x = 42,992.01 × 17,007.72
  4. Step 4: Simplify right side
    31,154.64x = 731,196,068.32
  5. Step 5: Solve for x
    x = 731,196,068.32/31,154.64
  6. Step 6: Final answer
    x = 23,469.89

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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.