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Finding the Fourth Proportional to 32,648.01, 48,972.02 and 9,271.41

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Solution

The fourth proportional to 32,648.01, 48,972.02 and 9,271.41 is: 13,907.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,648.01 : 48,972.02 = 9,271.41 : x
  2. Step 2: Convert to fraction form
    32,648.01/48,972.02 = 9,271.41/x
  3. Step 3: Cross multiply
    32,648.01x = 48,972.02 × 9,271.41
  4. Step 4: Simplify right side
    32,648.01x = 454,039,629.59
  5. Step 5: Solve for x
    x = 454,039,629.59/32,648.01
  6. Step 6: Final answer
    x = 13,907.12

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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.