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Finding the Fourth Proportional to 83,764, 115,594.32 and 46,038.25

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Solution

The fourth proportional to 83,764, 115,594.32 and 46,038.25 is: 63,532.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,764 : 115,594.32 = 46,038.25 : x
  2. Step 2: Convert to fraction form
    83,764/115,594.32 = 46,038.25/x
  3. Step 3: Cross multiply
    83,764x = 115,594.32 × 46,038.25
  4. Step 4: Simplify right side
    83,764x = 5,321,760,202.74
  5. Step 5: Solve for x
    x = 5,321,760,202.74/83,764
  6. Step 6: Final answer
    x = 63,532.79

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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.