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Finding the Fourth Proportional to 32,564.40, 48,841.80 and 9,193.20

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Solution

The fourth proportional to 32,564.40, 48,841.80 and 9,193.20 is: 13,788.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,564.40 : 48,841.80 = 9,193.20 : x
  2. Step 2: Convert to fraction form
    32,564.40/48,841.80 = 9,193.20/x
  3. Step 3: Cross multiply
    32,564.40x = 48,841.80 × 9,193.20
  4. Step 4: Simplify right side
    32,564.40x = 449,012,435.76
  5. Step 5: Solve for x
    x = 449,012,435.76/32,564.40
  6. Step 6: Final answer
    x = 13,788.44

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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.