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Finding the Fourth Proportional to 31,650.72, 47,465.55 and 11,655.60

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Solution

The fourth proportional to 31,650.72, 47,465.55 and 11,655.60 is: 17,479.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,650.72 : 47,465.55 = 11,655.60 : x
  2. Step 2: Convert to fraction form
    31,650.72/47,465.55 = 11,655.60/x
  3. Step 3: Cross multiply
    31,650.72x = 47,465.55 × 11,655.60
  4. Step 4: Simplify right side
    31,650.72x = 553,239,464.58
  5. Step 5: Solve for x
    x = 553,239,464.58/31,650.72
  6. Step 6: Final answer
    x = 17,479.52

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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.