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Finding the Fourth Proportional to 31,647.34, 47,475.62 and 11,666.39

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Solution

The fourth proportional to 31,647.34, 47,475.62 and 11,666.39 is: 17,501.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,647.34 : 47,475.62 = 11,666.39 : x
  2. Step 2: Convert to fraction form
    31,647.34/47,475.62 = 11,666.39/x
  3. Step 3: Cross multiply
    31,647.34x = 47,475.62 × 11,666.39
  4. Step 4: Simplify right side
    31,647.34x = 553,869,158.77
  5. Step 5: Solve for x
    x = 553,869,158.77/31,647.34
  6. Step 6: Final answer
    x = 17,501.29

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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.