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Finding the Fourth Proportional to 31,378.72, 47,066.64 and 10,602.40

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Solution

The fourth proportional to 31,378.72, 47,066.64 and 10,602.40 is: 15,903.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,378.72 : 47,066.64 = 10,602.40 : x
  2. Step 2: Convert to fraction form
    31,378.72/47,066.64 = 10,602.40/x
  3. Step 3: Cross multiply
    31,378.72x = 47,066.64 × 10,602.40
  4. Step 4: Simplify right side
    31,378.72x = 499,019,343.94
  5. Step 5: Solve for x
    x = 499,019,343.94/31,378.72
  6. Step 6: Final answer
    x = 15,903.11

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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.