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Finding the Fourth Proportional to 31,588.96, 47,412.10 and 16,810.32

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Solution

The fourth proportional to 31,588.96, 47,412.10 and 16,810.32 is: 25,230.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,588.96 : 47,412.10 = 16,810.32 : x
  2. Step 2: Convert to fraction form
    31,588.96/47,412.10 = 16,810.32/x
  3. Step 3: Cross multiply
    31,588.96x = 47,412.10 × 16,810.32
  4. Step 4: Simplify right side
    31,588.96x = 797,012,572.87
  5. Step 5: Solve for x
    x = 797,012,572.87/31,588.96
  6. Step 6: Final answer
    x = 25,230.73

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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.