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Finding the Fourth Proportional to 76,457.40, 114,688.02 and 37,007.16

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Solution

The fourth proportional to 76,457.40, 114,688.02 and 37,007.16 is: 55,511.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,457.40 : 114,688.02 = 37,007.16 : x
  2. Step 2: Convert to fraction form
    76,457.40/114,688.02 = 37,007.16/x
  3. Step 3: Cross multiply
    76,457.40x = 114,688.02 × 37,007.16
  4. Step 4: Simplify right side
    76,457.40x = 4,244,277,906.22
  5. Step 5: Solve for x
    x = 4,244,277,906.22/76,457.40
  6. Step 6: Final answer
    x = 55,511.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.