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Finding the Fourth Proportional to 65,194.71, 89,965.58 and 40,039.35

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Solution

The fourth proportional to 65,194.71, 89,965.58 and 40,039.35 is: 55,252.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,194.71 : 89,965.58 = 40,039.35 : x
  2. Step 2: Convert to fraction form
    65,194.71/89,965.58 = 40,039.35/x
  3. Step 3: Cross multiply
    65,194.71x = 89,965.58 × 40,039.35
  4. Step 4: Simplify right side
    65,194.71x = 3,602,163,345.57
  5. Step 5: Solve for x
    x = 3,602,163,345.57/65,194.71
  6. Step 6: Final answer
    x = 55,252.39

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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.