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Finding the Fourth Proportional to 46,649.08, 64,375.38 and 25,429.24

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Solution

The fourth proportional to 46,649.08, 64,375.38 and 25,429.24 is: 35,092.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,649.08 : 64,375.38 = 25,429.24 : x
  2. Step 2: Convert to fraction form
    46,649.08/64,375.38 = 25,429.24/x
  3. Step 3: Cross multiply
    46,649.08x = 64,375.38 × 25,429.24
  4. Step 4: Simplify right side
    46,649.08x = 1,637,016,988.11
  5. Step 5: Solve for x
    x = 1,637,016,988.11/46,649.08
  6. Step 6: Final answer
    x = 35,092.16

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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.