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Finding the Fourth Proportional to 73,191, 101,003.66 and 39,657

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Solution

The fourth proportional to 73,191, 101,003.66 and 39,657 is: 54,726.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,191 : 101,003.66 = 39,657 : x
  2. Step 2: Convert to fraction form
    73,191/101,003.66 = 39,657/x
  3. Step 3: Cross multiply
    73,191x = 101,003.66 × 39,657
  4. Step 4: Simplify right side
    73,191x = 4,005,501,946.34
  5. Step 5: Solve for x
    x = 4,005,501,946.34/73,191
  6. Step 6: Final answer
    x = 54,726.70

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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.