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Finding the Fourth Proportional to 38,471.36, 53,075.86 and 23,358.27

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Solution

The fourth proportional to 38,471.36, 53,075.86 and 23,358.27 is: 32,225.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,471.36 : 53,075.86 = 23,358.27 : x
  2. Step 2: Convert to fraction form
    38,471.36/53,075.86 = 23,358.27/x
  3. Step 3: Cross multiply
    38,471.36x = 53,075.86 × 23,358.27
  4. Step 4: Simplify right side
    38,471.36x = 1,239,760,409.00
  5. Step 5: Solve for x
    x = 1,239,760,409.00/38,471.36
  6. Step 6: Final answer
    x = 32,225.55

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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.