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Finding the Fourth Proportional to 30,514.60, 42,108.90 and 17,085.64

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Solution

The fourth proportional to 30,514.60, 42,108.90 and 17,085.64 is: 23,577.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,514.60 : 42,108.90 = 17,085.64 : x
  2. Step 2: Convert to fraction form
    30,514.60/42,108.90 = 17,085.64/x
  3. Step 3: Cross multiply
    30,514.60x = 42,108.90 × 17,085.64
  4. Step 4: Simplify right side
    30,514.60x = 719,457,506.20
  5. Step 5: Solve for x
    x = 719,457,506.20/30,514.60
  6. Step 6: Final answer
    x = 23,577.48

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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.