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Finding the Fourth Proportional to 30,898.32, 46,347 and 7,524.72

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Solution

The fourth proportional to 30,898.32, 46,347 and 7,524.72 is: 11,286.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,898.32 : 46,347 = 7,524.72 : x
  2. Step 2: Convert to fraction form
    30,898.32/46,347 = 7,524.72/x
  3. Step 3: Cross multiply
    30,898.32x = 46,347 × 7,524.72
  4. Step 4: Simplify right side
    30,898.32x = 348,748,197.84
  5. Step 5: Solve for x
    x = 348,748,197.84/30,898.32
  6. Step 6: Final answer
    x = 11,286.96

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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.