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Finding the Fourth Proportional to 55,775.52, 76,970.48 and 30,625

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Solution

The fourth proportional to 55,775.52, 76,970.48 and 30,625 is: 42,262.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,775.52 : 76,970.48 = 30,625 : x
  2. Step 2: Convert to fraction form
    55,775.52/76,970.48 = 30,625/x
  3. Step 3: Cross multiply
    55,775.52x = 76,970.48 × 30,625
  4. Step 4: Simplify right side
    55,775.52x = 2,357,220,950
  5. Step 5: Solve for x
    x = 2,357,220,950/55,775.52
  6. Step 6: Final answer
    x = 42,262.64

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