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Finding the Fourth Proportional to 32,002.16, 48,003.53 and 9,815.63

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Solution

The fourth proportional to 32,002.16, 48,003.53 and 9,815.63 is: 14,723.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,002.16 : 48,003.53 = 9,815.63 : x
  2. Step 2: Convert to fraction form
    32,002.16/48,003.53 = 9,815.63/x
  3. Step 3: Cross multiply
    32,002.16x = 48,003.53 × 9,815.63
  4. Step 4: Simplify right side
    32,002.16x = 471,184,600.08
  5. Step 5: Solve for x
    x = 471,184,600.08/32,002.16
  6. Step 6: Final answer
    x = 14,723.53

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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.