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Finding the Fourth Proportional to 65,659, 98,488.62 and 16,411

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Solution

The fourth proportional to 65,659, 98,488.62 and 16,411 is: 24,616.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,659 : 98,488.62 = 16,411 : x
  2. Step 2: Convert to fraction form
    65,659/98,488.62 = 16,411/x
  3. Step 3: Cross multiply
    65,659x = 98,488.62 × 16,411
  4. Step 4: Simplify right side
    65,659x = 1,616,296,742.82
  5. Step 5: Solve for x
    x = 1,616,296,742.82/65,659
  6. Step 6: Final answer
    x = 24,616.53

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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.