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Finding the Fourth Proportional to 32,564.60, 48,919.80 and 31,325.30

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Solution

The fourth proportional to 32,564.60, 48,919.80 and 31,325.30 is: 47,058.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,564.60 : 48,919.80 = 31,325.30 : x
  2. Step 2: Convert to fraction form
    32,564.60/48,919.80 = 31,325.30/x
  3. Step 3: Cross multiply
    32,564.60x = 48,919.80 × 31,325.30
  4. Step 4: Simplify right side
    32,564.60x = 1,532,427,410.94
  5. Step 5: Solve for x
    x = 1,532,427,410.94/32,564.60
  6. Step 6: Final answer
    x = 47,058.08

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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.