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Finding the Fourth Proportional to 65,092.41, 97,653.27 and 22,975.49

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Solution

The fourth proportional to 65,092.41, 97,653.27 and 22,975.49 is: 34,468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,092.41 : 97,653.27 = 22,975.49 : x
  2. Step 2: Convert to fraction form
    65,092.41/97,653.27 = 22,975.49/x
  3. Step 3: Cross multiply
    65,092.41x = 97,653.27 × 22,975.49
  4. Step 4: Simplify right side
    65,092.41x = 2,243,631,240.09
  5. Step 5: Solve for x
    x = 2,243,631,240.09/65,092.41
  6. Step 6: Final answer
    x = 34,468.40

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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.