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Finding the Fourth Proportional to 83,093.60, 114,673.56 and 45,368

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Solution

The fourth proportional to 83,093.60, 114,673.56 and 45,368 is: 62,610.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,093.60 : 114,673.56 = 45,368 : x
  2. Step 2: Convert to fraction form
    83,093.60/114,673.56 = 45,368/x
  3. Step 3: Cross multiply
    83,093.60x = 114,673.56 × 45,368
  4. Step 4: Simplify right side
    83,093.60x = 5,202,510,070.08
  5. Step 5: Solve for x
    x = 5,202,510,070.08/83,093.60
  6. Step 6: Final answer
    x = 62,610.24

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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.