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Finding the Fourth Proportional to 46,415, 64,052.70 and 25,194.42

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Solution

The fourth proportional to 46,415, 64,052.70 and 25,194.42 is: 34,768.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,415 : 64,052.70 = 25,194.42 : x
  2. Step 2: Convert to fraction form
    46,415/64,052.70 = 25,194.42/x
  3. Step 3: Cross multiply
    46,415x = 64,052.70 × 25,194.42
  4. Step 4: Simplify right side
    46,415x = 1,613,770,625.93
  5. Step 5: Solve for x
    x = 1,613,770,625.93/46,415
  6. Step 6: Final answer
    x = 34,768.30

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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.