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Finding the Fourth Proportional to 31,126.90, 46,690.35 and 15,538.90

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Solution

The fourth proportional to 31,126.90, 46,690.35 and 15,538.90 is: 23,308.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,126.90 : 46,690.35 = 15,538.90 : x
  2. Step 2: Convert to fraction form
    31,126.90/46,690.35 = 15,538.90/x
  3. Step 3: Cross multiply
    31,126.90x = 46,690.35 × 15,538.90
  4. Step 4: Simplify right side
    31,126.90x = 725,516,679.62
  5. Step 5: Solve for x
    x = 725,516,679.62/31,126.90
  6. Step 6: Final answer
    x = 23,308.35

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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.