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Finding the Fourth Proportional to 46,412.14, 64,048.82 and 25,191.42

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Solution

The fourth proportional to 46,412.14, 64,048.82 and 25,191.42 is: 34,764.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,412.14 : 64,048.82 = 25,191.42 : x
  2. Step 2: Convert to fraction form
    46,412.14/64,048.82 = 25,191.42/x
  3. Step 3: Cross multiply
    46,412.14x = 64,048.82 × 25,191.42
  4. Step 4: Simplify right side
    46,412.14x = 1,613,480,725.12
  5. Step 5: Solve for x
    x = 1,613,480,725.12/46,412.14
  6. Step 6: Final answer
    x = 34,764.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.