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Finding the Fourth Proportional to 101,705.22, 152,572.41 and 38,548.44

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Solution

The fourth proportional to 101,705.22, 152,572.41 and 38,548.44 is: 57,828.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,705.22 : 152,572.41 = 38,548.44 : x
  2. Step 2: Convert to fraction form
    101,705.22/152,572.41 = 38,548.44/x
  3. Step 3: Cross multiply
    101,705.22x = 152,572.41 × 38,548.44
  4. Step 4: Simplify right side
    101,705.22x = 5,881,428,392.54
  5. Step 5: Solve for x
    x = 5,881,428,392.54/101,705.22
  6. Step 6: Final answer
    x = 57,828.19

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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.