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Finding the Fourth Proportional to 55,657, 83,490.36 and 14,104

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Solution

The fourth proportional to 55,657, 83,490.36 and 14,104 is: 21,157.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,657 : 83,490.36 = 14,104 : x
  2. Step 2: Convert to fraction form
    55,657/83,490.36 = 14,104/x
  3. Step 3: Cross multiply
    55,657x = 83,490.36 × 14,104
  4. Step 4: Simplify right side
    55,657x = 1,177,548,037.44
  5. Step 5: Solve for x
    x = 1,177,548,037.44/55,657
  6. Step 6: Final answer
    x = 21,157.23

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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.