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Finding the Fourth Proportional to 55,897.60, 83,860.56 and 16,456

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Solution

The fourth proportional to 55,897.60, 83,860.56 and 16,456 is: 24,688.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,897.60 : 83,860.56 = 16,456 : x
  2. Step 2: Convert to fraction form
    55,897.60/83,860.56 = 16,456/x
  3. Step 3: Cross multiply
    55,897.60x = 83,860.56 × 16,456
  4. Step 4: Simplify right side
    55,897.60x = 1,380,009,375.36
  5. Step 5: Solve for x
    x = 1,380,009,375.36/55,897.60
  6. Step 6: Final answer
    x = 24,688.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.