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Finding the Fourth Proportional to 76,323.58, 105,330.12 and 47,660.20

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Solution

The fourth proportional to 76,323.58, 105,330.12 and 47,660.20 is: 65,773.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,323.58 : 105,330.12 = 47,660.20 : x
  2. Step 2: Convert to fraction form
    76,323.58/105,330.12 = 47,660.20/x
  3. Step 3: Cross multiply
    76,323.58x = 105,330.12 × 47,660.20
  4. Step 4: Simplify right side
    76,323.58x = 5,020,054,585.22
  5. Step 5: Solve for x
    x = 5,020,054,585.22/76,323.58
  6. Step 6: Final answer
    x = 65,773.31

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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.