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Finding the Fourth Proportional to 64,841.67, 97,274.25 and 31,561.71

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Solution

The fourth proportional to 64,841.67, 97,274.25 and 31,561.71 is: 47,348.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,841.67 : 97,274.25 = 31,561.71 : x
  2. Step 2: Convert to fraction form
    64,841.67/97,274.25 = 31,561.71/x
  3. Step 3: Cross multiply
    64,841.67x = 97,274.25 × 31,561.71
  4. Step 4: Simplify right side
    64,841.67x = 3,070,141,668.97
  5. Step 5: Solve for x
    x = 3,070,141,668.97/64,841.67
  6. Step 6: Final answer
    x = 47,348.28

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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.