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Finding the Fourth Proportional to 76,436.37, 105,483.96 and 42,444

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Solution

The fourth proportional to 76,436.37, 105,483.96 and 42,444 is: 58,573.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,436.37 : 105,483.96 = 42,444 : x
  2. Step 2: Convert to fraction form
    76,436.37/105,483.96 = 42,444/x
  3. Step 3: Cross multiply
    76,436.37x = 105,483.96 × 42,444
  4. Step 4: Simplify right side
    76,436.37x = 4,477,161,198.24
  5. Step 5: Solve for x
    x = 4,477,161,198.24/76,436.37
  6. Step 6: Final answer
    x = 58,573.70

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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.