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Finding the Fourth Proportional to 38,448.59, 53,059.09 and 22,533.05

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Solution

The fourth proportional to 38,448.59, 53,059.09 and 22,533.05 is: 31,095.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,448.59 : 53,059.09 = 22,533.05 : x
  2. Step 2: Convert to fraction form
    38,448.59/53,059.09 = 22,533.05/x
  3. Step 3: Cross multiply
    38,448.59x = 53,059.09 × 22,533.05
  4. Step 4: Simplify right side
    38,448.59x = 1,195,583,127.92
  5. Step 5: Solve for x
    x = 1,195,583,127.92/38,448.59
  6. Step 6: Final answer
    x = 31,095.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.