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Finding the Fourth Proportional to 38,835.46, 53,592.64 and 22,068.46

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Solution

The fourth proportional to 38,835.46, 53,592.64 and 22,068.46 is: 30,454.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,835.46 : 53,592.64 = 22,068.46 : x
  2. Step 2: Convert to fraction form
    38,835.46/53,592.64 = 22,068.46/x
  3. Step 3: Cross multiply
    38,835.46x = 53,592.64 × 22,068.46
  4. Step 4: Simplify right side
    38,835.46x = 1,182,707,032.13
  5. Step 5: Solve for x
    x = 1,182,707,032.13/38,835.46
  6. Step 6: Final answer
    x = 30,454.31

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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.