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Finding the Fourth Proportional to 32,485.26, 48,723.84 and 9,113.52

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Solution

The fourth proportional to 32,485.26, 48,723.84 and 9,113.52 is: 13,669.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,485.26 : 48,723.84 = 9,113.52 : x
  2. Step 2: Convert to fraction form
    32,485.26/48,723.84 = 9,113.52/x
  3. Step 3: Cross multiply
    32,485.26x = 48,723.84 × 9,113.52
  4. Step 4: Simplify right side
    32,485.26x = 444,045,690.32
  5. Step 5: Solve for x
    x = 444,045,690.32/32,485.26
  6. Step 6: Final answer
    x = 13,669.14

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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.