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Finding the Fourth Proportional to 32,032.67, 48,015.56 and 10,966.50

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Solution

The fourth proportional to 32,032.67, 48,015.56 and 10,966.50 is: 16,438.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,032.67 : 48,015.56 = 10,966.50 : x
  2. Step 2: Convert to fraction form
    32,032.67/48,015.56 = 10,966.50/x
  3. Step 3: Cross multiply
    32,032.67x = 48,015.56 × 10,966.50
  4. Step 4: Simplify right side
    32,032.67x = 526,562,666.16
  5. Step 5: Solve for x
    x = 526,562,666.16/32,032.67
  6. Step 6: Final answer
    x = 16,438.30

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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.