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Finding the Fourth Proportional to 81,838.49, 112,929.08 and 46,027.71

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Solution

The fourth proportional to 81,838.49, 112,929.08 and 46,027.71 is: 63,513.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,838.49 : 112,929.08 = 46,027.71 : x
  2. Step 2: Convert to fraction form
    81,838.49/112,929.08 = 46,027.71/x
  3. Step 3: Cross multiply
    81,838.49x = 112,929.08 × 46,027.71
  4. Step 4: Simplify right side
    81,838.49x = 5,197,866,714.67
  5. Step 5: Solve for x
    x = 5,197,866,714.67/81,838.49
  6. Step 6: Final answer
    x = 63,513.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.