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Finding the Fourth Proportional to 83,274.71, 114,886.82 and 53,054.62

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Solution

The fourth proportional to 83,274.71, 114,886.82 and 53,054.62 is: 73,194.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,274.71 : 114,886.82 = 53,054.62 : x
  2. Step 2: Convert to fraction form
    83,274.71/114,886.82 = 53,054.62/x
  3. Step 3: Cross multiply
    83,274.71x = 114,886.82 × 53,054.62
  4. Step 4: Simplify right side
    83,274.71x = 6,095,276,423.53
  5. Step 5: Solve for x
    x = 6,095,276,423.53/83,274.71
  6. Step 6: Final answer
    x = 73,194.81

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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.