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Finding the Fourth Proportional to 31,126.40, 46,689.60 and 15,538.40

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Solution

The fourth proportional to 31,126.40, 46,689.60 and 15,538.40 is: 23,307.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,126.40 : 46,689.60 = 15,538.40 : x
  2. Step 2: Convert to fraction form
    31,126.40/46,689.60 = 15,538.40/x
  3. Step 3: Cross multiply
    31,126.40x = 46,689.60 × 15,538.40
  4. Step 4: Simplify right side
    31,126.40x = 725,481,680.64
  5. Step 5: Solve for x
    x = 725,481,680.64/31,126.40
  6. Step 6: Final answer
    x = 23,307.60

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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.