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Finding the Fourth Proportional to 58,270.54, 87,405.86 and 24,969

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Solution

The fourth proportional to 58,270.54, 87,405.86 and 24,969 is: 37,453.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,270.54 : 87,405.86 = 24,969 : x
  2. Step 2: Convert to fraction form
    58,270.54/87,405.86 = 24,969/x
  3. Step 3: Cross multiply
    58,270.54x = 87,405.86 × 24,969
  4. Step 4: Simplify right side
    58,270.54x = 2,182,436,918.34
  5. Step 5: Solve for x
    x = 2,182,436,918.34/58,270.54
  6. Step 6: Final answer
    x = 37,453.52

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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.