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Finding the Fourth Proportional to 84,744.95, 116,947.71 and 46,505.14

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Solution

The fourth proportional to 84,744.95, 116,947.71 and 46,505.14 is: 64,176.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,744.95 : 116,947.71 = 46,505.14 : x
  2. Step 2: Convert to fraction form
    84,744.95/116,947.71 = 46,505.14/x
  3. Step 3: Cross multiply
    84,744.95x = 116,947.71 × 46,505.14
  4. Step 4: Simplify right side
    84,744.95x = 5,438,669,626.23
  5. Step 5: Solve for x
    x = 5,438,669,626.23/84,744.95
  6. Step 6: Final answer
    x = 64,176.92

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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.