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Finding the Fourth Proportional to 71,852.90, 107,784.81 and 24,453.32

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Solution

The fourth proportional to 71,852.90, 107,784.81 and 24,453.32 is: 36,681.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,852.90 : 107,784.81 = 24,453.32 : x
  2. Step 2: Convert to fraction form
    71,852.90/107,784.81 = 24,453.32/x
  3. Step 3: Cross multiply
    71,852.90x = 107,784.81 × 24,453.32
  4. Step 4: Simplify right side
    71,852.90x = 2,635,696,450.07
  5. Step 5: Solve for x
    x = 2,635,696,450.07/71,852.90
  6. Step 6: Final answer
    x = 36,681.84

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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.