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Finding the Fourth Proportional to 73,946, 102,009.80 and 48,441.24

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Solution

The fourth proportional to 73,946, 102,009.80 and 48,441.24 is: 66,825.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,946 : 102,009.80 = 48,441.24 : x
  2. Step 2: Convert to fraction form
    73,946/102,009.80 = 48,441.24/x
  3. Step 3: Cross multiply
    73,946x = 102,009.80 × 48,441.24
  4. Step 4: Simplify right side
    73,946x = 4,941,481,204.15
  5. Step 5: Solve for x
    x = 4,941,481,204.15/73,946
  6. Step 6: Final answer
    x = 66,825.54

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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.