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Finding the Fourth Proportional to 71,409.56, 98,541.62 and 39,578.18

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Solution

The fourth proportional to 71,409.56, 98,541.62 and 39,578.18 is: 54,615.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,409.56 : 98,541.62 = 39,578.18 : x
  2. Step 2: Convert to fraction form
    71,409.56/98,541.62 = 39,578.18/x
  3. Step 3: Cross multiply
    71,409.56x = 98,541.62 × 39,578.18
  4. Step 4: Simplify right side
    71,409.56x = 3,900,097,973.85
  5. Step 5: Solve for x
    x = 3,900,097,973.85/71,409.56
  6. Step 6: Final answer
    x = 54,615.91

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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.