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Finding the Fourth Proportional to 31,574.76, 47,316.94 and 23,189

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Solution

The fourth proportional to 31,574.76, 47,316.94 and 23,189 is: 34,750.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,574.76 : 47,316.94 = 23,189 : x
  2. Step 2: Convert to fraction form
    31,574.76/47,316.94 = 23,189/x
  3. Step 3: Cross multiply
    31,574.76x = 47,316.94 × 23,189
  4. Step 4: Simplify right side
    31,574.76x = 1,097,232,521.66
  5. Step 5: Solve for x
    x = 1,097,232,521.66/31,574.76
  6. Step 6: Final answer
    x = 34,750.30

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Why These Related Problems?

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