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Finding the Fourth Proportional to 52,362, 78,494.31 and 19,074.51

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Solution

The fourth proportional to 52,362, 78,494.31 and 19,074.51 is: 28,594.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,362 : 78,494.31 = 19,074.51 : x
  2. Step 2: Convert to fraction form
    52,362/78,494.31 = 19,074.51/x
  3. Step 3: Cross multiply
    52,362x = 78,494.31 × 19,074.51
  4. Step 4: Simplify right side
    52,362x = 1,497,240,501.04
  5. Step 5: Solve for x
    x = 1,497,240,501.04/52,362
  6. Step 6: Final answer
    x = 28,594.03

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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.