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Finding the Fourth Proportional to 52,446.26, 78,652.38 and 17,376.50

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Solution

The fourth proportional to 52,446.26, 78,652.38 and 17,376.50 is: 26,059.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,446.26 : 78,652.38 = 17,376.50 : x
  2. Step 2: Convert to fraction form
    52,446.26/78,652.38 = 17,376.50/x
  3. Step 3: Cross multiply
    52,446.26x = 78,652.38 × 17,376.50
  4. Step 4: Simplify right side
    52,446.26x = 1,366,703,081.07
  5. Step 5: Solve for x
    x = 1,366,703,081.07/52,446.26
  6. Step 6: Final answer
    x = 26,059.11

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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.