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Finding the Fourth Proportional to 65,071.36, 89,808.66 and 39,585.64

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Solution

The fourth proportional to 65,071.36, 89,808.66 and 39,585.64 is: 54,634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,071.36 : 89,808.66 = 39,585.64 : x
  2. Step 2: Convert to fraction form
    65,071.36/89,808.66 = 39,585.64/x
  3. Step 3: Cross multiply
    65,071.36x = 89,808.66 × 39,585.64
  4. Step 4: Simplify right side
    65,071.36x = 3,555,133,283.64
  5. Step 5: Solve for x
    x = 3,555,133,283.64/65,071.36
  6. Step 6: Final answer
    x = 54,634.38

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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.