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Finding the Fourth Proportional to 38,973.16, 53,775.30 and 23,869

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Solution

The fourth proportional to 38,973.16, 53,775.30 and 23,869 is: 32,934.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,973.16 : 53,775.30 = 23,869 : x
  2. Step 2: Convert to fraction form
    38,973.16/53,775.30 = 23,869/x
  3. Step 3: Cross multiply
    38,973.16x = 53,775.30 × 23,869
  4. Step 4: Simplify right side
    38,973.16x = 1,283,562,635.70
  5. Step 5: Solve for x
    x = 1,283,562,635.70/38,973.16
  6. Step 6: Final answer
    x = 32,934.53

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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.