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Finding the Fourth Proportional to 31,478.69, 47,218.05 and 30,112.04

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Solution

The fourth proportional to 31,478.69, 47,218.05 and 30,112.04 is: 45,168.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,478.69 : 47,218.05 = 30,112.04 : x
  2. Step 2: Convert to fraction form
    31,478.69/47,218.05 = 30,112.04/x
  3. Step 3: Cross multiply
    31,478.69x = 47,218.05 × 30,112.04
  4. Step 4: Simplify right side
    31,478.69x = 1,421,831,574.23
  5. Step 5: Solve for x
    x = 1,421,831,574.23/31,478.69
  6. Step 6: Final answer
    x = 45,168.07

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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.