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Finding the Fourth Proportional to 53,317.74, 79,976.58 and 15,878.34

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Solution

The fourth proportional to 53,317.74, 79,976.58 and 15,878.34 is: 23,817.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,317.74 : 79,976.58 = 15,878.34 : x
  2. Step 2: Convert to fraction form
    53,317.74/79,976.58 = 15,878.34/x
  3. Step 3: Cross multiply
    53,317.74x = 79,976.58 × 15,878.34
  4. Step 4: Simplify right side
    53,317.74x = 1,269,895,329.28
  5. Step 5: Solve for x
    x = 1,269,895,329.28/53,317.74
  6. Step 6: Final answer
    x = 23,817.50

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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.