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Finding the Fourth Proportional to 64,696, 97,044.05 and 17,948.92

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Solution

The fourth proportional to 64,696, 97,044.05 and 17,948.92 is: 26,923.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,696 : 97,044.05 = 17,948.92 : x
  2. Step 2: Convert to fraction form
    64,696/97,044.05 = 17,948.92/x
  3. Step 3: Cross multiply
    64,696x = 97,044.05 × 17,948.92
  4. Step 4: Simplify right side
    64,696x = 1,741,835,800.18
  5. Step 5: Solve for x
    x = 1,741,835,800.18/64,696
  6. Step 6: Final answer
    x = 26,923.39

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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.