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Finding the Fourth Proportional to 32,664.69, 49,006.62 and 10,477.62

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Solution

The fourth proportional to 32,664.69, 49,006.62 and 10,477.62 is: 15,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,664.69 : 49,006.62 = 10,477.62 : x
  2. Step 2: Convert to fraction form
    32,664.69/49,006.62 = 10,477.62/x
  3. Step 3: Cross multiply
    32,664.69x = 49,006.62 × 10,477.62
  4. Step 4: Simplify right side
    32,664.69x = 513,472,741.84
  5. Step 5: Solve for x
    x = 513,472,741.84/32,664.69
  6. Step 6: Final answer
    x = 15,719.50

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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.