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Finding the Fourth Proportional to 84,159, 116,141.04 and 46,432.44

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Solution

The fourth proportional to 84,159, 116,141.04 and 46,432.44 is: 64,077.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,159 : 116,141.04 = 46,432.44 : x
  2. Step 2: Convert to fraction form
    84,159/116,141.04 = 46,432.44/x
  3. Step 3: Cross multiply
    84,159x = 116,141.04 × 46,432.44
  4. Step 4: Simplify right side
    84,159x = 5,392,711,871.34
  5. Step 5: Solve for x
    x = 5,392,711,871.34/84,159
  6. Step 6: Final answer
    x = 64,077.66

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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.