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Finding the Fourth Proportional to 32,016.63, 48,017.77 and 9,830.20

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Solution

The fourth proportional to 32,016.63, 48,017.77 and 9,830.20 is: 14,743.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,016.63 : 48,017.77 = 9,830.20 : x
  2. Step 2: Convert to fraction form
    32,016.63/48,017.77 = 9,830.20/x
  3. Step 3: Cross multiply
    32,016.63x = 48,017.77 × 9,830.20
  4. Step 4: Simplify right side
    32,016.63x = 472,024,282.65
  5. Step 5: Solve for x
    x = 472,024,282.65/32,016.63
  6. Step 6: Final answer
    x = 14,743.10

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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.