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Finding the Fourth Proportional to 32,051.29, 48,076.41 and 12,334.12

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Solution

The fourth proportional to 32,051.29, 48,076.41 and 12,334.12 is: 18,500.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,051.29 : 48,076.41 = 12,334.12 : x
  2. Step 2: Convert to fraction form
    32,051.29/48,076.41 = 12,334.12/x
  3. Step 3: Cross multiply
    32,051.29x = 48,076.41 × 12,334.12
  4. Step 4: Simplify right side
    32,051.29x = 592,980,210.11
  5. Step 5: Solve for x
    x = 592,980,210.11/32,051.29
  6. Step 6: Final answer
    x = 18,500.98

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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.