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Finding the Fourth Proportional to 31,362.42, 47,069.07 and 16,580.46

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Solution

The fourth proportional to 31,362.42, 47,069.07 and 16,580.46 is: 24,884.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,362.42 : 47,069.07 = 16,580.46 : x
  2. Step 2: Convert to fraction form
    31,362.42/47,069.07 = 16,580.46/x
  3. Step 3: Cross multiply
    31,362.42x = 47,069.07 × 16,580.46
  4. Step 4: Simplify right side
    31,362.42x = 780,426,832.37
  5. Step 5: Solve for x
    x = 780,426,832.37/31,362.42
  6. Step 6: Final answer
    x = 24,884.14

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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.