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Finding the Fourth Proportional to 144,541.32, 216,758.11 and 49,745

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Solution

The fourth proportional to 144,541.32, 216,758.11 and 49,745 is: 74,598.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,541.32 : 216,758.11 = 49,745 : x
  2. Step 2: Convert to fraction form
    144,541.32/216,758.11 = 49,745/x
  3. Step 3: Cross multiply
    144,541.32x = 216,758.11 × 49,745
  4. Step 4: Simplify right side
    144,541.32x = 10,782,632,181.95
  5. Step 5: Solve for x
    x = 10,782,632,181.95/144,541.32
  6. Step 6: Final answer
    x = 74,598.96

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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.