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Finding the Fourth Proportional to 32,077.64, 48,116.50 and 8,704.08

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Solution

The fourth proportional to 32,077.64, 48,116.50 and 8,704.08 is: 13,056.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,077.64 : 48,116.50 = 8,704.08 : x
  2. Step 2: Convert to fraction form
    32,077.64/48,116.50 = 8,704.08/x
  3. Step 3: Cross multiply
    32,077.64x = 48,116.50 × 8,704.08
  4. Step 4: Simplify right side
    32,077.64x = 418,809,865.32
  5. Step 5: Solve for x
    x = 418,809,865.32/32,077.64
  6. Step 6: Final answer
    x = 13,056.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.