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Finding the Fourth Proportional to 32,709.06, 49,064.63 and 11,648.76

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Solution

The fourth proportional to 32,709.06, 49,064.63 and 11,648.76 is: 17,473.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,709.06 : 49,064.63 = 11,648.76 : x
  2. Step 2: Convert to fraction form
    32,709.06/49,064.63 = 11,648.76/x
  3. Step 3: Cross multiply
    32,709.06x = 49,064.63 × 11,648.76
  4. Step 4: Simplify right side
    32,709.06x = 571,542,041.12
  5. Step 5: Solve for x
    x = 571,542,041.12/32,709.06
  6. Step 6: Final answer
    x = 17,473.51

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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.