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Finding the Fourth Proportional to 53,484.34, 73,809.15 and 29,611

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Solution

The fourth proportional to 53,484.34, 73,809.15 and 29,611 is: 40,863.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,484.34 : 73,809.15 = 29,611 : x
  2. Step 2: Convert to fraction form
    53,484.34/73,809.15 = 29,611/x
  3. Step 3: Cross multiply
    53,484.34x = 73,809.15 × 29,611
  4. Step 4: Simplify right side
    53,484.34x = 2,185,562,740.65
  5. Step 5: Solve for x
    x = 2,185,562,740.65/53,484.34
  6. Step 6: Final answer
    x = 40,863.60

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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.