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Finding the Fourth Proportional to 46,865.25, 64,674.02 and 25,644.53

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Solution

The fourth proportional to 46,865.25, 64,674.02 and 25,644.53 is: 35,389.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,865.25 : 64,674.02 = 25,644.53 : x
  2. Step 2: Convert to fraction form
    46,865.25/64,674.02 = 25,644.53/x
  3. Step 3: Cross multiply
    46,865.25x = 64,674.02 × 25,644.53
  4. Step 4: Simplify right side
    46,865.25x = 1,658,534,394.52
  5. Step 5: Solve for x
    x = 1,658,534,394.52/46,865.25
  6. Step 6: Final answer
    x = 35,389.43

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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.