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Finding the Fourth Proportional to 32,091.86, 48,142.35 and 9,901.10

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Solution

The fourth proportional to 32,091.86, 48,142.35 and 9,901.10 is: 14,853.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,091.86 : 48,142.35 = 9,901.10 : x
  2. Step 2: Convert to fraction form
    32,091.86/48,142.35 = 9,901.10/x
  3. Step 3: Cross multiply
    32,091.86x = 48,142.35 × 9,901.10
  4. Step 4: Simplify right side
    32,091.86x = 476,662,341.94
  5. Step 5: Solve for x
    x = 476,662,341.94/32,091.86
  6. Step 6: Final answer
    x = 14,853.06

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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.