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Finding the Fourth Proportional to 52,340.52, 78,518.02 and 19,054.36

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Solution

The fourth proportional to 52,340.52, 78,518.02 and 19,054.36 is: 28,584.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,340.52 : 78,518.02 = 19,054.36 : x
  2. Step 2: Convert to fraction form
    52,340.52/78,518.02 = 19,054.36/x
  3. Step 3: Cross multiply
    52,340.52x = 78,518.02 × 19,054.36
  4. Step 4: Simplify right side
    52,340.52x = 1,496,110,619.57
  5. Step 5: Solve for x
    x = 1,496,110,619.57/52,340.52
  6. Step 6: Final answer
    x = 28,584.18

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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.