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Finding the Fourth Proportional to 31,127.36, 46,695.90 and 10,346

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Solution

The fourth proportional to 31,127.36, 46,695.90 and 10,346 is: 15,520.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,127.36 : 46,695.90 = 10,346 : x
  2. Step 2: Convert to fraction form
    31,127.36/46,695.90 = 10,346/x
  3. Step 3: Cross multiply
    31,127.36x = 46,695.90 × 10,346
  4. Step 4: Simplify right side
    31,127.36x = 483,115,781.40
  5. Step 5: Solve for x
    x = 483,115,781.40/31,127.36
  6. Step 6: Final answer
    x = 15,520.62

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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.