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Finding the Fourth Proportional to 78,012, 107,675.76 and 44,497.44

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Solution

The fourth proportional to 78,012, 107,675.76 and 44,497.44 is: 61,417.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,012 : 107,675.76 = 44,497.44 : x
  2. Step 2: Convert to fraction form
    78,012/107,675.76 = 44,497.44/x
  3. Step 3: Cross multiply
    78,012x = 107,675.76 × 44,497.44
  4. Step 4: Simplify right side
    78,012x = 4,791,295,670.05
  5. Step 5: Solve for x
    x = 4,791,295,670.05/78,012
  6. Step 6: Final answer
    x = 61,417.42

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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.