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Finding the Fourth Proportional to 34,749.70, 52,104.80 and 13,678.32

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Solution

The fourth proportional to 34,749.70, 52,104.80 and 13,678.32 is: 20,509.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,749.70 : 52,104.80 = 13,678.32 : x
  2. Step 2: Convert to fraction form
    34,749.70/52,104.80 = 13,678.32/x
  3. Step 3: Cross multiply
    34,749.70x = 52,104.80 × 13,678.32
  4. Step 4: Simplify right side
    34,749.70x = 712,705,963.48
  5. Step 5: Solve for x
    x = 712,705,963.48/34,749.70
  6. Step 6: Final answer
    x = 20,509.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.