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Finding the Fourth Proportional to 72,158, 108,238.62 and 24,773

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Solution

The fourth proportional to 72,158, 108,238.62 and 24,773 is: 37,160.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,158 : 108,238.62 = 24,773 : x
  2. Step 2: Convert to fraction form
    72,158/108,238.62 = 24,773/x
  3. Step 3: Cross multiply
    72,158x = 108,238.62 × 24,773
  4. Step 4: Simplify right side
    72,158x = 2,681,395,333.26
  5. Step 5: Solve for x
    x = 2,681,395,333.26/72,158
  6. Step 6: Final answer
    x = 37,160.06

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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.