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Finding the Fourth Proportional to 32,051.30, 48,077.69 and 10,991.16

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Solution

The fourth proportional to 32,051.30, 48,077.69 and 10,991.16 is: 16,486.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,051.30 : 48,077.69 = 10,991.16 : x
  2. Step 2: Convert to fraction form
    32,051.30/48,077.69 = 10,991.16/x
  3. Step 3: Cross multiply
    32,051.30x = 48,077.69 × 10,991.16
  4. Step 4: Simplify right side
    32,051.30x = 528,429,528.26
  5. Step 5: Solve for x
    x = 528,429,528.26/32,051.30
  6. Step 6: Final answer
    x = 16,486.99

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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.