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Finding the Fourth Proportional to 32,896.76, 49,345.14 and 10,712.36

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Solution

The fourth proportional to 32,896.76, 49,345.14 and 10,712.36 is: 16,068.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,896.76 : 49,345.14 = 10,712.36 : x
  2. Step 2: Convert to fraction form
    32,896.76/49,345.14 = 10,712.36/x
  3. Step 3: Cross multiply
    32,896.76x = 49,345.14 × 10,712.36
  4. Step 4: Simplify right side
    32,896.76x = 528,602,903.93
  5. Step 5: Solve for x
    x = 528,602,903.93/32,896.76
  6. Step 6: Final answer
    x = 16,068.54

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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.