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Finding the Fourth Proportional to 52,339.71, 78,462.78 and 19,036.30

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Solution

The fourth proportional to 52,339.71, 78,462.78 and 19,036.30 is: 28,537.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,339.71 : 78,462.78 = 19,036.30 : x
  2. Step 2: Convert to fraction form
    52,339.71/78,462.78 = 19,036.30/x
  3. Step 3: Cross multiply
    52,339.71x = 78,462.78 × 19,036.30
  4. Step 4: Simplify right side
    52,339.71x = 1,493,641,018.91
  5. Step 5: Solve for x
    x = 1,493,641,018.91/52,339.71
  6. Step 6: Final answer
    x = 28,537.43

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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.