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Finding the Fourth Proportional to 84,751.91, 116,957.64 and 47,026.16

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Solution

The fourth proportional to 84,751.91, 116,957.64 and 47,026.16 is: 64,896.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,751.91 : 116,957.64 = 47,026.16 : x
  2. Step 2: Convert to fraction form
    84,751.91/116,957.64 = 47,026.16/x
  3. Step 3: Cross multiply
    84,751.91x = 116,957.64 × 47,026.16
  4. Step 4: Simplify right side
    84,751.91x = 5,500,068,691.86
  5. Step 5: Solve for x
    x = 5,500,068,691.86/84,751.91
  6. Step 6: Final answer
    x = 64,896.10

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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.