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Finding the Fourth Proportional to 35,766.72, 53,652.48 and 9,471.12

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Solution

The fourth proportional to 35,766.72, 53,652.48 and 9,471.12 is: 14,207.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,766.72 : 53,652.48 = 9,471.12 : x
  2. Step 2: Convert to fraction form
    35,766.72/53,652.48 = 9,471.12/x
  3. Step 3: Cross multiply
    35,766.72x = 53,652.48 × 9,471.12
  4. Step 4: Simplify right side
    35,766.72x = 508,149,076.38
  5. Step 5: Solve for x
    x = 508,149,076.38/35,766.72
  6. Step 6: Final answer
    x = 14,207.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.