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Finding the Fourth Proportional to 84,615.81, 116,765.80 and 50,643.01

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Solution

The fourth proportional to 84,615.81, 116,765.80 and 50,643.01 is: 69,884.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,615.81 : 116,765.80 = 50,643.01 : x
  2. Step 2: Convert to fraction form
    84,615.81/116,765.80 = 50,643.01/x
  3. Step 3: Cross multiply
    84,615.81x = 116,765.80 × 50,643.01
  4. Step 4: Simplify right side
    84,615.81x = 5,913,371,577.06
  5. Step 5: Solve for x
    x = 5,913,371,577.06/84,615.81
  6. Step 6: Final answer
    x = 69,884.95

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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.