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Finding the Fourth Proportional to 101,924.58, 152,881.46 and 31,795.86

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Solution

The fourth proportional to 101,924.58, 152,881.46 and 31,795.86 is: 47,692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,924.58 : 152,881.46 = 31,795.86 : x
  2. Step 2: Convert to fraction form
    101,924.58/152,881.46 = 31,795.86/x
  3. Step 3: Cross multiply
    101,924.58x = 152,881.46 × 31,795.86
  4. Step 4: Simplify right side
    101,924.58x = 4,860,997,498.76
  5. Step 5: Solve for x
    x = 4,860,997,498.76/101,924.58
  6. Step 6: Final answer
    x = 47,692.10

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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.