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Finding the Fourth Proportional to 32,003.10, 48,004.65 and 29,670.30

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Solution

The fourth proportional to 32,003.10, 48,004.65 and 29,670.30 is: 44,505.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,003.10 : 48,004.65 = 29,670.30 : x
  2. Step 2: Convert to fraction form
    32,003.10/48,004.65 = 29,670.30/x
  3. Step 3: Cross multiply
    32,003.10x = 48,004.65 × 29,670.30
  4. Step 4: Simplify right side
    32,003.10x = 1,424,312,366.90
  5. Step 5: Solve for x
    x = 1,424,312,366.90/32,003.10
  6. Step 6: Final answer
    x = 44,505.45

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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.