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Finding the Fourth Proportional to 72,709.20, 109,063.80 and 65,710.80

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Solution

The fourth proportional to 72,709.20, 109,063.80 and 65,710.80 is: 98,566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,709.20 : 109,063.80 = 65,710.80 : x
  2. Step 2: Convert to fraction form
    72,709.20/109,063.80 = 65,710.80/x
  3. Step 3: Cross multiply
    72,709.20x = 109,063.80 × 65,710.80
  4. Step 4: Simplify right side
    72,709.20x = 7,166,669,549.04
  5. Step 5: Solve for x
    x = 7,166,669,549.04/72,709.20
  6. Step 6: Final answer
    x = 98,566.20

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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.