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Finding the Fourth Proportional to 65,686.24, 98,529.33 and 21,313

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Solution

The fourth proportional to 65,686.24, 98,529.33 and 21,313 is: 31,969.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,686.24 : 98,529.33 = 21,313 : x
  2. Step 2: Convert to fraction form
    65,686.24/98,529.33 = 21,313/x
  3. Step 3: Cross multiply
    65,686.24x = 98,529.33 × 21,313
  4. Step 4: Simplify right side
    65,686.24x = 2,099,955,610.29
  5. Step 5: Solve for x
    x = 2,099,955,610.29/65,686.24
  6. Step 6: Final answer
    x = 31,969.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.