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Finding the Fourth Proportional to 101,583.76, 152,333.52 and 38,392.96

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Solution

The fourth proportional to 101,583.76, 152,333.52 and 38,392.96 is: 57,573.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,583.76 : 152,333.52 = 38,392.96 : x
  2. Step 2: Convert to fraction form
    101,583.76/152,333.52 = 38,392.96/x
  3. Step 3: Cross multiply
    101,583.76x = 152,333.52 × 38,392.96
  4. Step 4: Simplify right side
    101,583.76x = 5,848,534,740.02
  5. Step 5: Solve for x
    x = 5,848,534,740.02/101,583.76
  6. Step 6: Final answer
    x = 57,573.52

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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.