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Finding the Fourth Proportional to 25,048.81, 37,575.72 and 9,257.99

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Solution

The fourth proportional to 25,048.81, 37,575.72 and 9,257.99 is: 13,887.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,048.81 : 37,575.72 = 9,257.99 : x
  2. Step 2: Convert to fraction form
    25,048.81/37,575.72 = 9,257.99/x
  3. Step 3: Cross multiply
    25,048.81x = 37,575.72 × 9,257.99
  4. Step 4: Simplify right side
    25,048.81x = 347,875,640.00
  5. Step 5: Solve for x
    x = 347,875,640.00/25,048.81
  6. Step 6: Final answer
    x = 13,887.91

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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.