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Finding the Fourth Proportional to 40,225.84, 55,536.10 and 31,256.40

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Solution

The fourth proportional to 40,225.84, 55,536.10 and 31,256.40 is: 43,152.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,225.84 : 55,536.10 = 31,256.40 : x
  2. Step 2: Convert to fraction form
    40,225.84/55,536.10 = 31,256.40/x
  3. Step 3: Cross multiply
    40,225.84x = 55,536.10 × 31,256.40
  4. Step 4: Simplify right side
    40,225.84x = 1,735,858,556.04
  5. Step 5: Solve for x
    x = 1,735,858,556.04/40,225.84
  6. Step 6: Final answer
    x = 43,152.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.