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Finding the Fourth Proportional to 70,952.50, 106,425.78 and 17,644.51

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Solution

The fourth proportional to 70,952.50, 106,425.78 and 17,644.51 is: 26,466.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,952.50 : 106,425.78 = 17,644.51 : x
  2. Step 2: Convert to fraction form
    70,952.50/106,425.78 = 17,644.51/x
  3. Step 3: Cross multiply
    70,952.50x = 106,425.78 × 17,644.51
  4. Step 4: Simplify right side
    70,952.50x = 1,877,830,739.47
  5. Step 5: Solve for x
    x = 1,877,830,739.47/70,952.50
  6. Step 6: Final answer
    x = 26,466.03

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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.