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Finding the Fourth Proportional to 112,836, 169,264.26 and 29,730

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Solution

The fourth proportional to 112,836, 169,264.26 and 29,730 is: 44,597.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,836 : 169,264.26 = 29,730 : x
  2. Step 2: Convert to fraction form
    112,836/169,264.26 = 29,730/x
  3. Step 3: Cross multiply
    112,836x = 169,264.26 × 29,730
  4. Step 4: Simplify right side
    112,836x = 5,032,226,449.80
  5. Step 5: Solve for x
    x = 5,032,226,449.80/112,836
  6. Step 6: Final answer
    x = 44,597.70

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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.