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Finding the Fourth Proportional to 34,977.60, 52,461.60 and 11,601.60

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Solution

The fourth proportional to 34,977.60, 52,461.60 and 11,601.60 is: 17,400.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,977.60 : 52,461.60 = 11,601.60 : x
  2. Step 2: Convert to fraction form
    34,977.60/52,461.60 = 11,601.60/x
  3. Step 3: Cross multiply
    34,977.60x = 52,461.60 × 11,601.60
  4. Step 4: Simplify right side
    34,977.60x = 608,638,498.56
  5. Step 5: Solve for x
    x = 608,638,498.56/34,977.60
  6. Step 6: Final answer
    x = 17,400.81

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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.