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Finding the Fourth Proportional to 83,915.82, 115,805.64 and 46,190.07

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Solution

The fourth proportional to 83,915.82, 115,805.64 and 46,190.07 is: 63,743.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,915.82 : 115,805.64 = 46,190.07 : x
  2. Step 2: Convert to fraction form
    83,915.82/115,805.64 = 46,190.07/x
  3. Step 3: Cross multiply
    83,915.82x = 115,805.64 × 46,190.07
  4. Step 4: Simplify right side
    83,915.82x = 5,349,070,617.99
  5. Step 5: Solve for x
    x = 5,349,070,617.99/83,915.82
  6. Step 6: Final answer
    x = 63,743.29

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1.5x scale

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.