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Finding the Fourth Proportional to 32,564.40, 48,862.80 and 12,843.60

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Solution

The fourth proportional to 32,564.40, 48,862.80 and 12,843.60 is: 19,271.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,564.40 : 48,862.80 = 12,843.60 : x
  2. Step 2: Convert to fraction form
    32,564.40/48,862.80 = 12,843.60/x
  3. Step 3: Cross multiply
    32,564.40x = 48,862.80 × 12,843.60
  4. Step 4: Simplify right side
    32,564.40x = 627,574,258.08
  5. Step 5: Solve for x
    x = 627,574,258.08/32,564.40
  6. Step 6: Final answer
    x = 19,271.79

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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.