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Finding the Fourth Proportional to 43,033, 64,549.50 and 13,849

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Solution

The fourth proportional to 43,033, 64,549.50 and 13,849 is: 20,773.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,033 : 64,549.50 = 13,849 : x
  2. Step 2: Convert to fraction form
    43,033/64,549.50 = 13,849/x
  3. Step 3: Cross multiply
    43,033x = 64,549.50 × 13,849
  4. Step 4: Simplify right side
    43,033x = 893,946,025.50
  5. Step 5: Solve for x
    x = 893,946,025.50/43,033
  6. Step 6: Final answer
    x = 20,773.50

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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.