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Finding the Fourth Proportional to 32,172.52, 48,258.78 and 15,745

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Solution

The fourth proportional to 32,172.52, 48,258.78 and 15,745 is: 23,617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,172.52 : 48,258.78 = 15,745 : x
  2. Step 2: Convert to fraction form
    32,172.52/48,258.78 = 15,745/x
  3. Step 3: Cross multiply
    32,172.52x = 48,258.78 × 15,745
  4. Step 4: Simplify right side
    32,172.52x = 759,834,491.10
  5. Step 5: Solve for x
    x = 759,834,491.10/32,172.52
  6. Step 6: Final answer
    x = 23,617.50

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1.5x scale

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.