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Finding the Fourth Proportional to 31,665.90, 47,501.28 and 9,477.58

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Solution

The fourth proportional to 31,665.90, 47,501.28 and 9,477.58 is: 14,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,665.90 : 47,501.28 = 9,477.58 : x
  2. Step 2: Convert to fraction form
    31,665.90/47,501.28 = 9,477.58/x
  3. Step 3: Cross multiply
    31,665.90x = 47,501.28 × 9,477.58
  4. Step 4: Simplify right side
    31,665.90x = 450,197,181.30
  5. Step 5: Solve for x
    x = 450,197,181.30/31,665.90
  6. Step 6: Final answer
    x = 14,217.10

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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.