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Finding the Fourth Proportional to 83,894.81, 115,791.53 and 48,109.01

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Solution

The fourth proportional to 83,894.81, 115,791.53 and 48,109.01 is: 66,400.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,894.81 : 115,791.53 = 48,109.01 : x
  2. Step 2: Convert to fraction form
    83,894.81/115,791.53 = 48,109.01/x
  3. Step 3: Cross multiply
    83,894.81x = 115,791.53 × 48,109.01
  4. Step 4: Simplify right side
    83,894.81x = 5,570,615,055.18
  5. Step 5: Solve for x
    x = 5,570,615,055.18/83,894.81
  6. Step 6: Final answer
    x = 66,400.00

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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.