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Finding the Fourth Proportional to 32,710.50, 45,146.38 and 19,280.96

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Solution

The fourth proportional to 32,710.50, 45,146.38 and 19,280.96 is: 26,611.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,710.50 : 45,146.38 = 19,280.96 : x
  2. Step 2: Convert to fraction form
    32,710.50/45,146.38 = 19,280.96/x
  3. Step 3: Cross multiply
    32,710.50x = 45,146.38 × 19,280.96
  4. Step 4: Simplify right side
    32,710.50x = 870,465,546.92
  5. Step 5: Solve for x
    x = 870,465,546.92/32,710.50
  6. Step 6: Final answer
    x = 26,611.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.