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Finding the Fourth Proportional to 48,706.56, 73,063.50 and 15,429.24

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Solution

The fourth proportional to 48,706.56, 73,063.50 and 15,429.24 is: 23,145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,706.56 : 73,063.50 = 15,429.24 : x
  2. Step 2: Convert to fraction form
    48,706.56/73,063.50 = 15,429.24/x
  3. Step 3: Cross multiply
    48,706.56x = 73,063.50 × 15,429.24
  4. Step 4: Simplify right side
    48,706.56x = 1,127,314,276.74
  5. Step 5: Solve for x
    x = 1,127,314,276.74/48,706.56
  6. Step 6: Final answer
    x = 23,145.02

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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.