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Finding the Fourth Proportional to 101,627.51, 152,534.84 and 51,743.25

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Solution

The fourth proportional to 101,627.51, 152,534.84 and 51,743.25 is: 77,662.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,627.51 : 152,534.84 = 51,743.25 : x
  2. Step 2: Convert to fraction form
    101,627.51/152,534.84 = 51,743.25/x
  3. Step 3: Cross multiply
    101,627.51x = 152,534.84 × 51,743.25
  4. Step 4: Simplify right side
    101,627.51x = 7,892,648,101.11
  5. Step 5: Solve for x
    x = 7,892,648,101.11/101,627.51
  6. Step 6: Final answer
    x = 77,662.52

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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.