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Finding the Fourth Proportional to 70,946.38, 106,416.49 and 17,637.24

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Solution

The fourth proportional to 70,946.38, 106,416.49 and 17,637.24 is: 26,455.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,946.38 : 106,416.49 = 17,637.24 : x
  2. Step 2: Convert to fraction form
    70,946.38/106,416.49 = 17,637.24/x
  3. Step 3: Cross multiply
    70,946.38x = 106,416.49 × 17,637.24
  4. Step 4: Simplify right side
    70,946.38x = 1,876,893,395.67
  5. Step 5: Solve for x
    x = 1,876,893,395.67/70,946.38
  6. Step 6: Final answer
    x = 26,455.10

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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.