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Finding the Fourth Proportional to 89,461.36, 123,457 and 49,178.62

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Solution

The fourth proportional to 89,461.36, 123,457 and 49,178.62 is: 67,866.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,461.36 : 123,457 = 49,178.62 : x
  2. Step 2: Convert to fraction form
    89,461.36/123,457 = 49,178.62/x
  3. Step 3: Cross multiply
    89,461.36x = 123,457 × 49,178.62
  4. Step 4: Simplify right side
    89,461.36x = 6,071,444,889.34
  5. Step 5: Solve for x
    x = 6,071,444,889.34/89,461.36
  6. Step 6: Final answer
    x = 67,866.67

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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.