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Finding the Fourth Proportional to 34,745.60, 52,133.76 and 14,009.60

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Solution

The fourth proportional to 34,745.60, 52,133.76 and 14,009.60 is: 21,020.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,745.60 : 52,133.76 = 14,009.60 : x
  2. Step 2: Convert to fraction form
    34,745.60/52,133.76 = 14,009.60/x
  3. Step 3: Cross multiply
    34,745.60x = 52,133.76 × 14,009.60
  4. Step 4: Simplify right side
    34,745.60x = 730,373,124.10
  5. Step 5: Solve for x
    x = 730,373,124.10/34,745.60
  6. Step 6: Final answer
    x = 21,020.59

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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.