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Finding the Fourth Proportional to 31,820.40, 47,730.60 and 26,751.60

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Solution

The fourth proportional to 31,820.40, 47,730.60 and 26,751.60 is: 40,127.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,820.40 : 47,730.60 = 26,751.60 : x
  2. Step 2: Convert to fraction form
    31,820.40/47,730.60 = 26,751.60/x
  3. Step 3: Cross multiply
    31,820.40x = 47,730.60 × 26,751.60
  4. Step 4: Simplify right side
    31,820.40x = 1,276,869,918.96
  5. Step 5: Solve for x
    x = 1,276,869,918.96/31,820.40
  6. Step 6: Final answer
    x = 40,127.40

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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.