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Finding the Fourth Proportional to 65,849.28, 98,686.44 and 37,782.78

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Solution

The fourth proportional to 65,849.28, 98,686.44 and 37,782.78 is: 56,623.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,849.28 : 98,686.44 = 37,782.78 : x
  2. Step 2: Convert to fraction form
    65,849.28/98,686.44 = 37,782.78/x
  3. Step 3: Cross multiply
    65,849.28x = 98,686.44 × 37,782.78
  4. Step 4: Simplify right side
    65,849.28x = 3,728,648,051.50
  5. Step 5: Solve for x
    x = 3,728,648,051.50/65,849.28
  6. Step 6: Final answer
    x = 56,623.98

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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.