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Finding the Fourth Proportional to 31,827.84, 47,749.04 and 17,051.08

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Solution

The fourth proportional to 31,827.84, 47,749.04 and 17,051.08 is: 25,580.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,827.84 : 47,749.04 = 17,051.08 : x
  2. Step 2: Convert to fraction form
    31,827.84/47,749.04 = 17,051.08/x
  3. Step 3: Cross multiply
    31,827.84x = 47,749.04 × 17,051.08
  4. Step 4: Simplify right side
    31,827.84x = 814,172,700.96
  5. Step 5: Solve for x
    x = 814,172,700.96/31,827.84
  6. Step 6: Final answer
    x = 25,580.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.