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Finding the Fourth Proportional to 65,378.72, 98,058.36 and 23,816

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Solution

The fourth proportional to 65,378.72, 98,058.36 and 23,816 is: 35,720.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,378.72 : 98,058.36 = 23,816 : x
  2. Step 2: Convert to fraction form
    65,378.72/98,058.36 = 23,816/x
  3. Step 3: Cross multiply
    65,378.72x = 98,058.36 × 23,816
  4. Step 4: Simplify right side
    65,378.72x = 2,335,357,901.76
  5. Step 5: Solve for x
    x = 2,335,357,901.76/65,378.72
  6. Step 6: Final answer
    x = 35,720.46

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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.