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Finding the Fourth Proportional to 38,004, 52,448.75 and 22,087.42

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Solution

The fourth proportional to 38,004, 52,448.75 and 22,087.42 is: 30,482.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,004 : 52,448.75 = 22,087.42 : x
  2. Step 2: Convert to fraction form
    38,004/52,448.75 = 22,087.42/x
  3. Step 3: Cross multiply
    38,004x = 52,448.75 × 22,087.42
  4. Step 4: Simplify right side
    38,004x = 1,158,457,569.73
  5. Step 5: Solve for x
    x = 1,158,457,569.73/38,004
  6. Step 6: Final answer
    x = 30,482.52

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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.