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Finding the Fourth Proportional to 29,185, 43,783.89 and 9,465.55

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Solution

The fourth proportional to 29,185, 43,783.89 and 9,465.55 is: 14,200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,185 : 43,783.89 = 9,465.55 : x
  2. Step 2: Convert to fraction form
    29,185/43,783.89 = 9,465.55/x
  3. Step 3: Cross multiply
    29,185x = 43,783.89 × 9,465.55
  4. Step 4: Simplify right side
    29,185x = 414,438,599.99
  5. Step 5: Solve for x
    x = 414,438,599.99/29,185
  6. Step 6: Final answer
    x = 14,200.40

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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.