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Finding the Fourth Proportional to 32,005.10, 48,007.65 and 28,505.90

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Solution

The fourth proportional to 32,005.10, 48,007.65 and 28,505.90 is: 42,758.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.10 : 48,007.65 = 28,505.90 : x
  2. Step 2: Convert to fraction form
    32,005.10/48,007.65 = 28,505.90/x
  3. Step 3: Cross multiply
    32,005.10x = 48,007.65 × 28,505.90
  4. Step 4: Simplify right side
    32,005.10x = 1,368,501,270.14
  5. Step 5: Solve for x
    x = 1,368,501,270.14/32,005.10
  6. Step 6: Final answer
    x = 42,758.85

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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.