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Finding the Fourth Proportional to 97,158.49, 145,737.73 and 37,952.64

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Solution

The fourth proportional to 97,158.49, 145,737.73 and 37,952.64 is: 56,928.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,158.49 : 145,737.73 = 37,952.64 : x
  2. Step 2: Convert to fraction form
    97,158.49/145,737.73 = 37,952.64/x
  3. Step 3: Cross multiply
    97,158.49x = 145,737.73 × 37,952.64
  4. Step 4: Simplify right side
    97,158.49x = 5,531,131,648.55
  5. Step 5: Solve for x
    x = 5,531,131,648.55/97,158.49
  6. Step 6: Final answer
    x = 56,928.96

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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.