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Finding the Fourth Proportional to 46,656, 64,383.12 and 25,435.08

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Solution

The fourth proportional to 46,656, 64,383.12 and 25,435.08 is: 35,099.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,656 : 64,383.12 = 25,435.08 : x
  2. Step 2: Convert to fraction form
    46,656/64,383.12 = 25,435.08/x
  3. Step 3: Cross multiply
    46,656x = 64,383.12 × 25,435.08
  4. Step 4: Simplify right side
    46,656x = 1,637,589,807.85
  5. Step 5: Solve for x
    x = 1,637,589,807.85/46,656
  6. Step 6: Final answer
    x = 35,099.23

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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.