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Finding the Fourth Proportional to 46,563.78, 64,256 and 25,343.12

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Solution

The fourth proportional to 46,563.78, 64,256 and 25,343.12 is: 34,972.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,563.78 : 64,256 = 25,343.12 : x
  2. Step 2: Convert to fraction form
    46,563.78/64,256 = 25,343.12/x
  3. Step 3: Cross multiply
    46,563.78x = 64,256 × 25,343.12
  4. Step 4: Simplify right side
    46,563.78x = 1,628,447,518.72
  5. Step 5: Solve for x
    x = 1,628,447,518.72/46,563.78
  6. Step 6: Final answer
    x = 34,972.41

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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.