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Finding the Fourth Proportional to 32,145.01, 48,225.22 and 13,414.63

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Solution

The fourth proportional to 32,145.01, 48,225.22 and 13,414.63 is: 20,125.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,145.01 : 48,225.22 = 13,414.63 : x
  2. Step 2: Convert to fraction form
    32,145.01/48,225.22 = 13,414.63/x
  3. Step 3: Cross multiply
    32,145.01x = 48,225.22 × 13,414.63
  4. Step 4: Simplify right side
    32,145.01x = 646,923,482.97
  5. Step 5: Solve for x
    x = 646,923,482.97/32,145.01
  6. Step 6: Final answer
    x = 20,125.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.