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Finding the Fourth Proportional to 72,716.40, 100,314.94 and 42,503

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Solution

The fourth proportional to 72,716.40, 100,314.94 and 42,503 is: 58,634.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,716.40 : 100,314.94 = 42,503 : x
  2. Step 2: Convert to fraction form
    72,716.40/100,314.94 = 42,503/x
  3. Step 3: Cross multiply
    72,716.40x = 100,314.94 × 42,503
  4. Step 4: Simplify right side
    72,716.40x = 4,263,685,894.82
  5. Step 5: Solve for x
    x = 4,263,685,894.82/72,716.40
  6. Step 6: Final answer
    x = 58,634.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.