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Finding the Fourth Proportional to 102,338, 153,594.48 and 40,052.24

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Solution

The fourth proportional to 102,338, 153,594.48 and 40,052.24 is: 60,112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,338 : 153,594.48 = 40,052.24 : x
  2. Step 2: Convert to fraction form
    102,338/153,594.48 = 40,052.24/x
  3. Step 3: Cross multiply
    102,338x = 153,594.48 × 40,052.24
  4. Step 4: Simplify right side
    102,338x = 6,151,802,975.64
  5. Step 5: Solve for x
    x = 6,151,802,975.64/102,338
  6. Step 6: Final answer
    x = 60,112.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.