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Finding the Fourth Proportional to 46,961.84, 64,808.84 and 25,742.44

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Solution

The fourth proportional to 46,961.84, 64,808.84 and 25,742.44 is: 35,525.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,961.84 : 64,808.84 = 25,742.44 : x
  2. Step 2: Convert to fraction form
    46,961.84/64,808.84 = 25,742.44/x
  3. Step 3: Cross multiply
    46,961.84x = 64,808.84 × 25,742.44
  4. Step 4: Simplify right side
    46,961.84x = 1,668,337,675.17
  5. Step 5: Solve for x
    x = 1,668,337,675.17/46,961.84
  6. Step 6: Final answer
    x = 35,525.39

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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.