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Finding the Fourth Proportional to 189,596.32, 284,393.52 and 49,354.72

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Solution

The fourth proportional to 189,596.32, 284,393.52 and 49,354.72 is: 74,031.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,596.32 : 284,393.52 = 49,354.72 : x
  2. Step 2: Convert to fraction form
    189,596.32/284,393.52 = 49,354.72/x
  3. Step 3: Cross multiply
    189,596.32x = 284,393.52 × 49,354.72
  4. Step 4: Simplify right side
    189,596.32x = 14,036,162,549.41
  5. Step 5: Solve for x
    x = 14,036,162,549.41/189,596.32
  6. Step 6: Final answer
    x = 74,031.83

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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.