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Finding the Fourth Proportional to 30,575.80, 42,195.54 and 17,146.72

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Solution

The fourth proportional to 30,575.80, 42,195.54 and 17,146.72 is: 23,663.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,575.80 : 42,195.54 = 17,146.72 : x
  2. Step 2: Convert to fraction form
    30,575.80/42,195.54 = 17,146.72/x
  3. Step 3: Cross multiply
    30,575.80x = 42,195.54 × 17,146.72
  4. Step 4: Simplify right side
    30,575.80x = 723,515,109.63
  5. Step 5: Solve for x
    x = 723,515,109.63/30,575.80
  6. Step 6: Final answer
    x = 23,663.00

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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.