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Finding the Fourth Proportional to 32,674.14, 49,000.50 and 10,482.23

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Solution

The fourth proportional to 32,674.14, 49,000.50 and 10,482.23 is: 15,719.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,674.14 : 49,000.50 = 10,482.23 : x
  2. Step 2: Convert to fraction form
    32,674.14/49,000.50 = 10,482.23/x
  3. Step 3: Cross multiply
    32,674.14x = 49,000.50 × 10,482.23
  4. Step 4: Simplify right side
    32,674.14x = 513,634,266.11
  5. Step 5: Solve for x
    x = 513,634,266.11/32,674.14
  6. Step 6: Final answer
    x = 15,719.90

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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.