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Finding the Fourth Proportional to 65,641.16, 98,437.44 and 23,509.64

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Solution

The fourth proportional to 65,641.16, 98,437.44 and 23,509.64 is: 35,255.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,641.16 : 98,437.44 = 23,509.64 : x
  2. Step 2: Convert to fraction form
    65,641.16/98,437.44 = 23,509.64/x
  3. Step 3: Cross multiply
    65,641.16x = 98,437.44 × 23,509.64
  4. Step 4: Simplify right side
    65,641.16x = 2,314,228,776.92
  5. Step 5: Solve for x
    x = 2,314,228,776.92/65,641.16
  6. Step 6: Final answer
    x = 35,255.76

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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.