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Finding the Fourth Proportional to 32,852.34, 49,277.76 and 10,665.66

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Solution

The fourth proportional to 32,852.34, 49,277.76 and 10,665.66 is: 15,998.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,852.34 : 49,277.76 = 10,665.66 : x
  2. Step 2: Convert to fraction form
    32,852.34/49,277.76 = 10,665.66/x
  3. Step 3: Cross multiply
    32,852.34x = 49,277.76 × 10,665.66
  4. Step 4: Simplify right side
    32,852.34x = 525,579,833.72
  5. Step 5: Solve for x
    x = 525,579,833.72/32,852.34
  6. Step 6: Final answer
    x = 15,998.25

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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.