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Finding the Fourth Proportional to 32,277.15, 48,421.19 and 10,086.16

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Solution

The fourth proportional to 32,277.15, 48,421.19 and 10,086.16 is: 15,130.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,277.15 : 48,421.19 = 10,086.16 : x
  2. Step 2: Convert to fraction form
    32,277.15/48,421.19 = 10,086.16/x
  3. Step 3: Cross multiply
    32,277.15x = 48,421.19 × 10,086.16
  4. Step 4: Simplify right side
    32,277.15x = 488,383,698.25
  5. Step 5: Solve for x
    x = 488,383,698.25/32,277.15
  6. Step 6: Final answer
    x = 15,130.94

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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.