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Finding the Fourth Proportional to 31,705.68, 47,585.52 and 17,679.36

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Solution

The fourth proportional to 31,705.68, 47,585.52 and 17,679.36 is: 26,534.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,705.68 : 47,585.52 = 17,679.36 : x
  2. Step 2: Convert to fraction form
    31,705.68/47,585.52 = 17,679.36/x
  3. Step 3: Cross multiply
    31,705.68x = 47,585.52 × 17,679.36
  4. Step 4: Simplify right side
    31,705.68x = 841,281,538.87
  5. Step 5: Solve for x
    x = 841,281,538.87/31,705.68
  6. Step 6: Final answer
    x = 26,534.10

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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.