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Finding the Fourth Proportional to 81,775, 112,851.93 and 48,241

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Solution

The fourth proportional to 81,775, 112,851.93 and 48,241 is: 66,574.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,775 : 112,851.93 = 48,241 : x
  2. Step 2: Convert to fraction form
    81,775/112,851.93 = 48,241/x
  3. Step 3: Cross multiply
    81,775x = 112,851.93 × 48,241
  4. Step 4: Simplify right side
    81,775x = 5,444,089,955.13
  5. Step 5: Solve for x
    x = 5,444,089,955.13/81,775
  6. Step 6: Final answer
    x = 66,574.01

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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.