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Finding the Fourth Proportional to 34,745.64, 52,117.95 and 11,054.63

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Solution

The fourth proportional to 34,745.64, 52,117.95 and 11,054.63 is: 16,581.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,745.64 : 52,117.95 = 11,054.63 : x
  2. Step 2: Convert to fraction form
    34,745.64/52,117.95 = 11,054.63/x
  3. Step 3: Cross multiply
    34,745.64x = 52,117.95 × 11,054.63
  4. Step 4: Simplify right side
    34,745.64x = 576,144,393.02
  5. Step 5: Solve for x
    x = 576,144,393.02/34,745.64
  6. Step 6: Final answer
    x = 16,581.78

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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.