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Finding the Fourth Proportional to 31,875.30, 47,808.09 and 10,814.22

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Solution

The fourth proportional to 31,875.30, 47,808.09 and 10,814.22 is: 16,219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,875.30 : 47,808.09 = 10,814.22 : x
  2. Step 2: Convert to fraction form
    31,875.30/47,808.09 = 10,814.22/x
  3. Step 3: Cross multiply
    31,875.30x = 47,808.09 × 10,814.22
  4. Step 4: Simplify right side
    31,875.30x = 517,007,203.04
  5. Step 5: Solve for x
    x = 517,007,203.04/31,875.30
  6. Step 6: Final answer
    x = 16,219.68

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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.