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Finding the Fourth Proportional to 46,642.72, 64,368.48 and 25,424.32

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Solution

The fourth proportional to 46,642.72, 64,368.48 and 25,424.32 is: 35,086.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,642.72 : 64,368.48 = 25,424.32 : x
  2. Step 2: Convert to fraction form
    46,642.72/64,368.48 = 25,424.32/x
  3. Step 3: Cross multiply
    46,642.72x = 64,368.48 × 25,424.32
  4. Step 4: Simplify right side
    46,642.72x = 1,636,524,833.43
  5. Step 5: Solve for x
    x = 1,636,524,833.43/46,642.72
  6. Step 6: Final answer
    x = 35,086.39

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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.