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Finding the Fourth Proportional to 49,130, 73,695.48 and 12,194

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Solution

The fourth proportional to 49,130, 73,695.48 and 12,194 is: 18,291.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,130 : 73,695.48 = 12,194 : x
  2. Step 2: Convert to fraction form
    49,130/73,695.48 = 12,194/x
  3. Step 3: Cross multiply
    49,130x = 73,695.48 × 12,194
  4. Step 4: Simplify right side
    49,130x = 898,642,683.12
  5. Step 5: Solve for x
    x = 898,642,683.12/49,130
  6. Step 6: Final answer
    x = 18,291.12

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Why These Related Problems?

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