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Finding the Fourth Proportional to 76,180.71, 105,157.59 and 45,967.30

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Solution

The fourth proportional to 76,180.71, 105,157.59 and 45,967.30 is: 63,451.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,180.71 : 105,157.59 = 45,967.30 : x
  2. Step 2: Convert to fraction form
    76,180.71/105,157.59 = 45,967.30/x
  3. Step 3: Cross multiply
    76,180.71x = 105,157.59 × 45,967.30
  4. Step 4: Simplify right side
    76,180.71x = 4,833,810,486.81
  5. Step 5: Solve for x
    x = 4,833,810,486.81/76,180.71
  6. Step 6: Final answer
    x = 63,451.90

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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.