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Finding the Fourth Proportional to 76,639, 105,771.54 and 43,111.48

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Solution

The fourth proportional to 76,639, 105,771.54 and 43,111.48 is: 59,499.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,639 : 105,771.54 = 43,111.48 : x
  2. Step 2: Convert to fraction form
    76,639/105,771.54 = 43,111.48/x
  3. Step 3: Cross multiply
    76,639x = 105,771.54 × 43,111.48
  4. Step 4: Simplify right side
    76,639x = 4,559,967,631.28
  5. Step 5: Solve for x
    x = 4,559,967,631.28/76,639
  6. Step 6: Final answer
    x = 59,499.31

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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.