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Finding the Fourth Proportional to 46,452, 64,104.93 and 25,231.26

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Solution

The fourth proportional to 46,452, 64,104.93 and 25,231.26 is: 34,819.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,452 : 64,104.93 = 25,231.26 : x
  2. Step 2: Convert to fraction form
    46,452/64,104.93 = 25,231.26/x
  3. Step 3: Cross multiply
    46,452x = 64,104.93 × 25,231.26
  4. Step 4: Simplify right side
    46,452x = 1,617,448,156.11
  5. Step 5: Solve for x
    x = 1,617,448,156.11/46,452
  6. Step 6: Final answer
    x = 34,819.77

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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.