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Finding the Fourth Proportional to 112,893, 169,350.84 and 29,787

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Solution

The fourth proportional to 112,893, 169,350.84 and 29,787 is: 44,683.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,893 : 169,350.84 = 29,787 : x
  2. Step 2: Convert to fraction form
    112,893/169,350.84 = 29,787/x
  3. Step 3: Cross multiply
    112,893x = 169,350.84 × 29,787
  4. Step 4: Simplify right side
    112,893x = 5,044,453,471.08
  5. Step 5: Solve for x
    x = 5,044,453,471.08/112,893
  6. Step 6: Final answer
    x = 44,683.49

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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.