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Finding the Fourth Proportional to 46,961.84, 64,809 and 25,741.10

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Solution

The fourth proportional to 46,961.84, 64,809 and 25,741.10 is: 35,523.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,961.84 : 64,809 = 25,741.10 : x
  2. Step 2: Convert to fraction form
    46,961.84/64,809 = 25,741.10/x
  3. Step 3: Cross multiply
    46,961.84x = 64,809 × 25,741.10
  4. Step 4: Simplify right side
    46,961.84x = 1,668,254,949.90
  5. Step 5: Solve for x
    x = 1,668,254,949.90/46,961.84
  6. Step 6: Final answer
    x = 35,523.63

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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.