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Finding the Fourth Proportional to 65,975.91, 91,058.95 and 37,681.60

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Solution

The fourth proportional to 65,975.91, 91,058.95 and 37,681.60 is: 52,007.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,975.91 : 91,058.95 = 37,681.60 : x
  2. Step 2: Convert to fraction form
    65,975.91/91,058.95 = 37,681.60/x
  3. Step 3: Cross multiply
    65,975.91x = 91,058.95 × 37,681.60
  4. Step 4: Simplify right side
    65,975.91x = 3,431,246,930.32
  5. Step 5: Solve for x
    x = 3,431,246,930.32/65,975.91
  6. Step 6: Final answer
    x = 52,007.57

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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.