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Finding the Fourth Proportional to 112,963.94, 169,446.12 and 34,078.24

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Solution

The fourth proportional to 112,963.94, 169,446.12 and 34,078.24 is: 51,117.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,963.94 : 169,446.12 = 34,078.24 : x
  2. Step 2: Convert to fraction form
    112,963.94/169,446.12 = 34,078.24/x
  3. Step 3: Cross multiply
    112,963.94x = 169,446.12 × 34,078.24
  4. Step 4: Simplify right side
    112,963.94x = 5,774,425,120.81
  5. Step 5: Solve for x
    x = 5,774,425,120.81/112,963.94
  6. Step 6: Final answer
    x = 51,117.42

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1.5x scale

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.