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Finding the Fourth Proportional to 30,953.41, 46,448.56 and 11,233.50

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Solution

The fourth proportional to 30,953.41, 46,448.56 and 11,233.50 is: 16,856.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,953.41 : 46,448.56 = 11,233.50 : x
  2. Step 2: Convert to fraction form
    30,953.41/46,448.56 = 11,233.50/x
  3. Step 3: Cross multiply
    30,953.41x = 46,448.56 × 11,233.50
  4. Step 4: Simplify right side
    30,953.41x = 521,779,914.70
  5. Step 5: Solve for x
    x = 521,779,914.70/30,953.41
  6. Step 6: Final answer
    x = 16,856.95

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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.