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Finding the Fourth Proportional to 30,475.78, 42,055.81 and 17,047.60

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Solution

The fourth proportional to 30,475.78, 42,055.81 and 17,047.60 is: 23,525.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,475.78 : 42,055.81 = 17,047.60 : x
  2. Step 2: Convert to fraction form
    30,475.78/42,055.81 = 17,047.60/x
  3. Step 3: Cross multiply
    30,475.78x = 42,055.81 × 17,047.60
  4. Step 4: Simplify right side
    30,475.78x = 716,950,478.80
  5. Step 5: Solve for x
    x = 716,950,478.80/30,475.78
  6. Step 6: Final answer
    x = 23,525.26

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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.