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Finding the Fourth Proportional to 32,506.80, 48,779.40 and 23,719.60

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Solution

The fourth proportional to 32,506.80, 48,779.40 and 23,719.60 is: 35,593.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,506.80 : 48,779.40 = 23,719.60 : x
  2. Step 2: Convert to fraction form
    32,506.80/48,779.40 = 23,719.60/x
  3. Step 3: Cross multiply
    32,506.80x = 48,779.40 × 23,719.60
  4. Step 4: Simplify right side
    32,506.80x = 1,157,027,856.24
  5. Step 5: Solve for x
    x = 1,157,027,856.24/32,506.80
  6. Step 6: Final answer
    x = 35,593.41

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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.