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Finding the Fourth Proportional to 32,803.24, 49,212.54 and 10,615.72

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Solution

The fourth proportional to 32,803.24, 49,212.54 and 10,615.72 is: 15,926.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,803.24 : 49,212.54 = 10,615.72 : x
  2. Step 2: Convert to fraction form
    32,803.24/49,212.54 = 10,615.72/x
  3. Step 3: Cross multiply
    32,803.24x = 49,212.54 × 10,615.72
  4. Step 4: Simplify right side
    32,803.24x = 522,426,545.13
  5. Step 5: Solve for x
    x = 522,426,545.13/32,803.24
  6. Step 6: Final answer
    x = 15,926.07

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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.