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Finding the Fourth Proportional to 83,876.64, 115,749.75 and 46,150.89

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Solution

The fourth proportional to 83,876.64, 115,749.75 and 46,150.89 is: 63,688.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,876.64 : 115,749.75 = 46,150.89 : x
  2. Step 2: Convert to fraction form
    83,876.64/115,749.75 = 46,150.89/x
  3. Step 3: Cross multiply
    83,876.64x = 115,749.75 × 46,150.89
  4. Step 4: Simplify right side
    83,876.64x = 5,341,953,979.78
  5. Step 5: Solve for x
    x = 5,341,953,979.78/83,876.64
  6. Step 6: Final answer
    x = 63,688.22

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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.