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Finding the Fourth Proportional to 112,887, 169,341.84 and 29,781

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Solution

The fourth proportional to 112,887, 169,341.84 and 29,781 is: 44,674.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,887 : 169,341.84 = 29,781 : x
  2. Step 2: Convert to fraction form
    112,887/169,341.84 = 29,781/x
  3. Step 3: Cross multiply
    112,887x = 169,341.84 × 29,781
  4. Step 4: Simplify right side
    112,887x = 5,043,169,337.04
  5. Step 5: Solve for x
    x = 5,043,169,337.04/112,887
  6. Step 6: Final answer
    x = 44,674.49

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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.