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Finding the Fourth Proportional to 32,015.10, 48,029.78 and 9,830.72

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Solution

The fourth proportional to 32,015.10, 48,029.78 and 9,830.72 is: 14,748.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,015.10 : 48,029.78 = 9,830.72 : x
  2. Step 2: Convert to fraction form
    32,015.10/48,029.78 = 9,830.72/x
  3. Step 3: Cross multiply
    32,015.10x = 48,029.78 × 9,830.72
  4. Step 4: Simplify right side
    32,015.10x = 472,167,103.27
  5. Step 5: Solve for x
    x = 472,167,103.27/32,015.10
  6. Step 6: Final answer
    x = 14,748.26

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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.