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Finding the Fourth Proportional to 84,074.76, 116,017.92 and 46,349.01

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Solution

The fourth proportional to 84,074.76, 116,017.92 and 46,349.01 is: 63,958.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,074.76 : 116,017.92 = 46,349.01 : x
  2. Step 2: Convert to fraction form
    84,074.76/116,017.92 = 46,349.01/x
  3. Step 3: Cross multiply
    84,074.76x = 116,017.92 × 46,349.01
  4. Step 4: Simplify right side
    84,074.76x = 5,377,315,734.26
  5. Step 5: Solve for x
    x = 5,377,315,734.26/84,074.76
  6. Step 6: Final answer
    x = 63,958.74

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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.