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Finding the Fourth Proportional to 44,645, 66,967.50 and 11,813

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Solution

The fourth proportional to 44,645, 66,967.50 and 11,813 is: 17,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,645 : 66,967.50 = 11,813 : x
  2. Step 2: Convert to fraction form
    44,645/66,967.50 = 11,813/x
  3. Step 3: Cross multiply
    44,645x = 66,967.50 × 11,813
  4. Step 4: Simplify right side
    44,645x = 791,087,077.50
  5. Step 5: Solve for x
    x = 791,087,077.50/44,645
  6. Step 6: Final answer
    x = 17,719.50

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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.