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Finding the Fourth Proportional to 55,516, 76,649.08 and 32,862.24

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Solution

The fourth proportional to 55,516, 76,649.08 and 32,862.24 is: 45,371.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,516 : 76,649.08 = 32,862.24 : x
  2. Step 2: Convert to fraction form
    55,516/76,649.08 = 32,862.24/x
  3. Step 3: Cross multiply
    55,516x = 76,649.08 × 32,862.24
  4. Step 4: Simplify right side
    55,516x = 2,518,860,462.74
  5. Step 5: Solve for x
    x = 2,518,860,462.74/55,516
  6. Step 6: Final answer
    x = 45,371.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.