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Finding the Fourth Proportional to 52,026, 78,059.52 and 27,050.40

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Solution

The fourth proportional to 52,026, 78,059.52 and 27,050.40 is: 40,586.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,026 : 78,059.52 = 27,050.40 : x
  2. Step 2: Convert to fraction form
    52,026/78,059.52 = 27,050.40/x
  3. Step 3: Cross multiply
    52,026x = 78,059.52 × 27,050.40
  4. Step 4: Simplify right side
    52,026x = 2,111,541,239.81
  5. Step 5: Solve for x
    x = 2,111,541,239.81/52,026
  6. Step 6: Final answer
    x = 40,586.27

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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.