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Finding the Fourth Proportional to 65,953.51, 98,929.55 and 16,033.66

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Solution

The fourth proportional to 65,953.51, 98,929.55 and 16,033.66 is: 24,050.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,953.51 : 98,929.55 = 16,033.66 : x
  2. Step 2: Convert to fraction form
    65,953.51/98,929.55 = 16,033.66/x
  3. Step 3: Cross multiply
    65,953.51x = 98,929.55 × 16,033.66
  4. Step 4: Simplify right side
    65,953.51x = 1,586,202,995.93
  5. Step 5: Solve for x
    x = 1,586,202,995.93/65,953.51
  6. Step 6: Final answer
    x = 24,050.32

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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.