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Finding the Fourth Proportional to 65,509, 98,264.14 and 16,261

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Solution

The fourth proportional to 65,509, 98,264.14 and 16,261 is: 24,391.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,509 : 98,264.14 = 16,261 : x
  2. Step 2: Convert to fraction form
    65,509/98,264.14 = 16,261/x
  3. Step 3: Cross multiply
    65,509x = 98,264.14 × 16,261
  4. Step 4: Simplify right side
    65,509x = 1,597,873,180.54
  5. Step 5: Solve for x
    x = 1,597,873,180.54/65,509
  6. Step 6: Final answer
    x = 24,391.66

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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.