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Finding the Fourth Proportional to 76,762.89, 105,931.19 and 42,771.24

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Solution

The fourth proportional to 76,762.89, 105,931.19 and 42,771.24 is: 59,023.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,762.89 : 105,931.19 = 42,771.24 : x
  2. Step 2: Convert to fraction form
    76,762.89/105,931.19 = 42,771.24/x
  3. Step 3: Cross multiply
    76,762.89x = 105,931.19 × 42,771.24
  4. Step 4: Simplify right side
    76,762.89x = 4,530,808,457.90
  5. Step 5: Solve for x
    x = 4,530,808,457.90/76,762.89
  6. Step 6: Final answer
    x = 59,023.42

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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.