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Finding the Fourth Proportional to 71,380.81, 98,509.02 and 39,549.82

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Solution

The fourth proportional to 71,380.81, 98,509.02 and 39,549.82 is: 54,580.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,380.81 : 98,509.02 = 39,549.82 : x
  2. Step 2: Convert to fraction form
    71,380.81/98,509.02 = 39,549.82/x
  3. Step 3: Cross multiply
    71,380.81x = 98,509.02 × 39,549.82
  4. Step 4: Simplify right side
    71,380.81x = 3,896,014,009.38
  5. Step 5: Solve for x
    x = 3,896,014,009.38/71,380.81
  6. Step 6: Final answer
    x = 54,580.69

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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.