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Finding the Fourth Proportional to 172,946.50, 259,427.70 and 52,994.86

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Solution

The fourth proportional to 172,946.50, 259,427.70 and 52,994.86 is: 79,494.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,946.50 : 259,427.70 = 52,994.86 : x
  2. Step 2: Convert to fraction form
    172,946.50/259,427.70 = 52,994.86/x
  3. Step 3: Cross multiply
    172,946.50x = 259,427.70 × 52,994.86
  4. Step 4: Simplify right side
    172,946.50x = 13,748,334,641.62
  5. Step 5: Solve for x
    x = 13,748,334,641.62/172,946.50
  6. Step 6: Final answer
    x = 79,494.73

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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.