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Finding the Fourth Proportional to 72,665.30, 101,964.70 and 72,665.30

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Solution

The fourth proportional to 72,665.30, 101,964.70 and 72,665.30 is: 101,964.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,665.30 : 101,964.70 = 72,665.30 : x
  2. Step 2: Convert to fraction form
    72,665.30/101,964.70 = 72,665.30/x
  3. Step 3: Cross multiply
    72,665.30x = 101,964.70 × 72,665.30
  4. Step 4: Simplify right side
    72,665.30x = 7,409,295,514.91
  5. Step 5: Solve for x
    x = 7,409,295,514.91/72,665.30
  6. Step 6: Final answer
    x = 101,964.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.