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Finding the Fourth Proportional to 189,682.30, 284,516.74 and 47,528.79

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Solution

The fourth proportional to 189,682.30, 284,516.74 and 47,528.79 is: 71,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,682.30 : 284,516.74 = 47,528.79 : x
  2. Step 2: Convert to fraction form
    189,682.30/284,516.74 = 47,528.79/x
  3. Step 3: Cross multiply
    189,682.30x = 284,516.74 × 47,528.79
  4. Step 4: Simplify right side
    189,682.30x = 13,522,736,386.94
  5. Step 5: Solve for x
    x = 13,522,736,386.94/189,682.30
  6. Step 6: Final answer
    x = 71,291.50

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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.