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Finding the Fourth Proportional to 76,539.01, 105,631.05 and 46,331.86

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Solution

The fourth proportional to 76,539.01, 105,631.05 and 46,331.86 is: 63,942.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,539.01 : 105,631.05 = 46,331.86 : x
  2. Step 2: Convert to fraction form
    76,539.01/105,631.05 = 46,331.86/x
  3. Step 3: Cross multiply
    76,539.01x = 105,631.05 × 46,331.86
  4. Step 4: Simplify right side
    76,539.01x = 4,894,083,020.25
  5. Step 5: Solve for x
    x = 4,894,083,020.25/76,539.01
  6. Step 6: Final answer
    x = 63,942.34

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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.