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Finding the Fourth Proportional to 117,181.68, 175,780.74 and 47,061

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Solution

The fourth proportional to 117,181.68, 175,780.74 and 47,061 is: 70,594.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,181.68 : 175,780.74 = 47,061 : x
  2. Step 2: Convert to fraction form
    117,181.68/175,780.74 = 47,061/x
  3. Step 3: Cross multiply
    117,181.68x = 175,780.74 × 47,061
  4. Step 4: Simplify right side
    117,181.68x = 8,272,417,405.14
  5. Step 5: Solve for x
    x = 8,272,417,405.14/117,181.68
  6. Step 6: Final answer
    x = 70,594.80

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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.