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Finding the Fourth Proportional to 35,671.68, 53,509.73 and 11,977.29

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Solution

The fourth proportional to 35,671.68, 53,509.73 and 11,977.29 is: 17,966.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,671.68 : 53,509.73 = 11,977.29 : x
  2. Step 2: Convert to fraction form
    35,671.68/53,509.73 = 11,977.29/x
  3. Step 3: Cross multiply
    35,671.68x = 53,509.73 × 11,977.29
  4. Step 4: Simplify right side
    35,671.68x = 640,901,494.15
  5. Step 5: Solve for x
    x = 640,901,494.15/35,671.68
  6. Step 6: Final answer
    x = 17,966.68

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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.