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Finding the Fourth Proportional to 31,023.40, 46,534.36 and 9,963.48

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Solution

The fourth proportional to 31,023.40, 46,534.36 and 9,963.48 is: 14,944.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,023.40 : 46,534.36 = 9,963.48 : x
  2. Step 2: Convert to fraction form
    31,023.40/46,534.36 = 9,963.48/x
  3. Step 3: Cross multiply
    31,023.40x = 46,534.36 × 9,963.48
  4. Step 4: Simplify right side
    31,023.40x = 463,644,165.17
  5. Step 5: Solve for x
    x = 463,644,165.17/31,023.40
  6. Step 6: Final answer
    x = 14,944.98

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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.