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Finding the Fourth Proportional to 32,007.10, 48,010.65 and 32,007.10

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Solution

The fourth proportional to 32,007.10, 48,010.65 and 32,007.10 is: 48,010.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,007.10 : 48,010.65 = 32,007.10 : x
  2. Step 2: Convert to fraction form
    32,007.10/48,010.65 = 32,007.10/x
  3. Step 3: Cross multiply
    32,007.10x = 48,010.65 × 32,007.10
  4. Step 4: Simplify right side
    32,007.10x = 1,536,681,675.62
  5. Step 5: Solve for x
    x = 1,536,681,675.62/32,007.10
  6. Step 6: Final answer
    x = 48,010.65

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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.