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Finding the Fourth Proportional to 32,384.90, 48,579.10 and 10,200.02

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Solution

The fourth proportional to 32,384.90, 48,579.10 and 10,200.02 is: 15,300.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,384.90 : 48,579.10 = 10,200.02 : x
  2. Step 2: Convert to fraction form
    32,384.90/48,579.10 = 10,200.02/x
  3. Step 3: Cross multiply
    32,384.90x = 48,579.10 × 10,200.02
  4. Step 4: Simplify right side
    32,384.90x = 495,507,504.06
  5. Step 5: Solve for x
    x = 495,507,504.06/32,384.90
  6. Step 6: Final answer
    x = 15,300.57

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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.