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Finding the Fourth Proportional to 46,643.74, 64,369.72 and 25,424.38

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Solution

The fourth proportional to 46,643.74, 64,369.72 and 25,424.38 is: 35,086.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,643.74 : 64,369.72 = 25,424.38 : x
  2. Step 2: Convert to fraction form
    46,643.74/64,369.72 = 25,424.38/x
  3. Step 3: Cross multiply
    46,643.74x = 64,369.72 × 25,424.38
  4. Step 4: Simplify right side
    46,643.74x = 1,636,560,221.77
  5. Step 5: Solve for x
    x = 1,636,560,221.77/46,643.74
  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.