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Finding the Fourth Proportional to 31,537.68, 47,306.52 and 17,696.40

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Solution

The fourth proportional to 31,537.68, 47,306.52 and 17,696.40 is: 26,544.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,537.68 : 47,306.52 = 17,696.40 : x
  2. Step 2: Convert to fraction form
    31,537.68/47,306.52 = 17,696.40/x
  3. Step 3: Cross multiply
    31,537.68x = 47,306.52 × 17,696.40
  4. Step 4: Simplify right side
    31,537.68x = 837,155,100.53
  5. Step 5: Solve for x
    x = 837,155,100.53/31,537.68
  6. Step 6: Final answer
    x = 26,544.60

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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.