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Finding the Fourth Proportional to 31,666.52, 47,492.66 and 9,477.05

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Solution

The fourth proportional to 31,666.52, 47,492.66 and 9,477.05 is: 14,213.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,666.52 : 47,492.66 = 9,477.05 : x
  2. Step 2: Convert to fraction form
    31,666.52/47,492.66 = 9,477.05/x
  3. Step 3: Cross multiply
    31,666.52x = 47,492.66 × 9,477.05
  4. Step 4: Simplify right side
    31,666.52x = 450,090,028.60
  5. Step 5: Solve for x
    x = 450,090,028.60/31,666.52
  6. Step 6: Final answer
    x = 14,213.44

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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.