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Finding the Fourth Proportional to 53,649.64, 80,483.10 and 16,705

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Solution

The fourth proportional to 53,649.64, 80,483.10 and 16,705 is: 25,060.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,649.64 : 80,483.10 = 16,705 : x
  2. Step 2: Convert to fraction form
    53,649.64/80,483.10 = 16,705/x
  3. Step 3: Cross multiply
    53,649.64x = 80,483.10 × 16,705
  4. Step 4: Simplify right side
    53,649.64x = 1,344,470,185.50
  5. Step 5: Solve for x
    x = 1,344,470,185.50/53,649.64
  6. Step 6: Final answer
    x = 25,060.19

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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.