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Finding the Fourth Proportional to 41,507, 62,261.04 and 13,805

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Solution

The fourth proportional to 41,507, 62,261.04 and 13,805 is: 20,707.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,507 : 62,261.04 = 13,805 : x
  2. Step 2: Convert to fraction form
    41,507/62,261.04 = 13,805/x
  3. Step 3: Cross multiply
    41,507x = 62,261.04 × 13,805
  4. Step 4: Simplify right side
    41,507x = 859,513,657.20
  5. Step 5: Solve for x
    x = 859,513,657.20/41,507
  6. Step 6: Final answer
    x = 20,707.68

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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.