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Finding the Fourth Proportional to 55,577.52, 76,710.48 and 34,344

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Solution

The fourth proportional to 55,577.52, 76,710.48 and 34,344 is: 47,403.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,577.52 : 76,710.48 = 34,344 : x
  2. Step 2: Convert to fraction form
    55,577.52/76,710.48 = 34,344/x
  3. Step 3: Cross multiply
    55,577.52x = 76,710.48 × 34,344
  4. Step 4: Simplify right side
    55,577.52x = 2,634,544,725.12
  5. Step 5: Solve for x
    x = 2,634,544,725.12/55,577.52
  6. Step 6: Final answer
    x = 47,403.06

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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.