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Finding the Fourth Proportional to 52,374.33, 78,573.78 and 17,313.75

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Solution

The fourth proportional to 52,374.33, 78,573.78 and 17,313.75 is: 25,974.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,374.33 : 78,573.78 = 17,313.75 : x
  2. Step 2: Convert to fraction form
    52,374.33/78,573.78 = 17,313.75/x
  3. Step 3: Cross multiply
    52,374.33x = 78,573.78 × 17,313.75
  4. Step 4: Simplify right side
    52,374.33x = 1,360,406,783.48
  5. Step 5: Solve for x
    x = 1,360,406,783.48/52,374.33
  6. Step 6: Final answer
    x = 25,974.69

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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.