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Finding the Fourth Proportional to 64,971.43, 97,465.34 and 22,841.61

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Solution

The fourth proportional to 64,971.43, 97,465.34 and 22,841.61 is: 34,265.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,971.43 : 97,465.34 = 22,841.61 : x
  2. Step 2: Convert to fraction form
    64,971.43/97,465.34 = 22,841.61/x
  3. Step 3: Cross multiply
    64,971.43x = 97,465.34 × 22,841.61
  4. Step 4: Simplify right side
    64,971.43x = 2,226,265,284.80
  5. Step 5: Solve for x
    x = 2,226,265,284.80/64,971.43
  6. Step 6: Final answer
    x = 34,265.30

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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.