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Finding the Fourth Proportional to 31,459.84, 43,415.76 and 17,312.32

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Solution

The fourth proportional to 31,459.84, 43,415.76 and 17,312.32 is: 23,891.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,459.84 : 43,415.76 = 17,312.32 : x
  2. Step 2: Convert to fraction form
    31,459.84/43,415.76 = 17,312.32/x
  3. Step 3: Cross multiply
    31,459.84x = 43,415.76 × 17,312.32
  4. Step 4: Simplify right side
    31,459.84x = 751,627,530.16
  5. Step 5: Solve for x
    x = 751,627,530.16/31,459.84
  6. Step 6: Final answer
    x = 23,891.65

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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.