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Finding the Fourth Proportional to 52,474.40, 78,704.40 and 17,410.40

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Solution

The fourth proportional to 52,474.40, 78,704.40 and 17,410.40 is: 26,113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,474.40 : 78,704.40 = 17,410.40 : x
  2. Step 2: Convert to fraction form
    52,474.40/78,704.40 = 17,410.40/x
  3. Step 3: Cross multiply
    52,474.40x = 78,704.40 × 17,410.40
  4. Step 4: Simplify right side
    52,474.40x = 1,370,275,085.76
  5. Step 5: Solve for x
    x = 1,370,275,085.76/52,474.40
  6. Step 6: Final answer
    x = 26,113.21

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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.