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Finding the Fourth Proportional to 71,384.88, 107,231.82 and 46,412.08

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Solution

The fourth proportional to 71,384.88, 107,231.82 and 46,412.08 is: 69,718.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,384.88 : 107,231.82 = 46,412.08 : x
  2. Step 2: Convert to fraction form
    71,384.88/107,231.82 = 46,412.08/x
  3. Step 3: Cross multiply
    71,384.88x = 107,231.82 × 46,412.08
  4. Step 4: Simplify right side
    71,384.88x = 4,976,851,808.39
  5. Step 5: Solve for x
    x = 4,976,851,808.39/71,384.88
  6. Step 6: Final answer
    x = 69,718.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.