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Finding the Fourth Proportional to 29,645.52, 40,914.42 and 17,070

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Solution

The fourth proportional to 29,645.52, 40,914.42 and 17,070 is: 23,558.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,645.52 : 40,914.42 = 17,070 : x
  2. Step 2: Convert to fraction form
    29,645.52/40,914.42 = 17,070/x
  3. Step 3: Cross multiply
    29,645.52x = 40,914.42 × 17,070
  4. Step 4: Simplify right side
    29,645.52x = 698,409,149.40
  5. Step 5: Solve for x
    x = 698,409,149.40/29,645.52
  6. Step 6: Final answer
    x = 23,558.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.