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Finding the Fourth Proportional to 30,735.63, 42,416.01 and 17,307.36

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Solution

The fourth proportional to 30,735.63, 42,416.01 and 17,307.36 is: 23,884.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,735.63 : 42,416.01 = 17,307.36 : x
  2. Step 2: Convert to fraction form
    30,735.63/42,416.01 = 17,307.36/x
  3. Step 3: Cross multiply
    30,735.63x = 42,416.01 × 17,307.36
  4. Step 4: Simplify right side
    30,735.63x = 734,109,154.83
  5. Step 5: Solve for x
    x = 734,109,154.83/30,735.63
  6. Step 6: Final answer
    x = 23,884.63

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