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Finding the Fourth Proportional to 31,137.36, 46,701.02 and 8,945.69

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Solution

The fourth proportional to 31,137.36, 46,701.02 and 8,945.69 is: 13,417.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,137.36 : 46,701.02 = 8,945.69 : x
  2. Step 2: Convert to fraction form
    31,137.36/46,701.02 = 8,945.69/x
  3. Step 3: Cross multiply
    31,137.36x = 46,701.02 × 8,945.69
  4. Step 4: Simplify right side
    31,137.36x = 417,772,919.63
  5. Step 5: Solve for x
    x = 417,772,919.63/31,137.36
  6. Step 6: Final answer
    x = 13,417.10

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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.