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Finding the Fourth Proportional to 112,852.80, 169,286.16 and 29,746.80

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Solution

The fourth proportional to 112,852.80, 169,286.16 and 29,746.80 is: 44,622.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,852.80 : 169,286.16 = 29,746.80 : x
  2. Step 2: Convert to fraction form
    112,852.80/169,286.16 = 29,746.80/x
  3. Step 3: Cross multiply
    112,852.80x = 169,286.16 × 29,746.80
  4. Step 4: Simplify right side
    112,852.80x = 5,035,721,544.29
  5. Step 5: Solve for x
    x = 5,035,721,544.29/112,852.80
  6. Step 6: Final answer
    x = 44,622.03

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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.