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Finding the Fourth Proportional to 46,470, 64,128.90 and 25,249.26

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Solution

The fourth proportional to 46,470, 64,128.90 and 25,249.26 is: 34,844.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,470 : 64,128.90 = 25,249.26 : x
  2. Step 2: Convert to fraction form
    46,470/64,128.90 = 25,249.26/x
  3. Step 3: Cross multiply
    46,470x = 64,128.90 × 25,249.26
  4. Step 4: Simplify right side
    46,470x = 1,619,207,269.61
  5. Step 5: Solve for x
    x = 1,619,207,269.61/46,470
  6. Step 6: Final answer
    x = 34,844.14

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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.