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Finding the Fourth Proportional to 65,901.79, 98,832.24 and 23,776.40

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Solution

The fourth proportional to 65,901.79, 98,832.24 and 23,776.40 is: 35,657.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,901.79 : 98,832.24 = 23,776.40 : x
  2. Step 2: Convert to fraction form
    65,901.79/98,832.24 = 23,776.40/x
  3. Step 3: Cross multiply
    65,901.79x = 98,832.24 × 23,776.40
  4. Step 4: Simplify right side
    65,901.79x = 2,349,874,768.14
  5. Step 5: Solve for x
    x = 2,349,874,768.14/65,901.79
  6. Step 6: Final answer
    x = 35,657.22

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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.