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Finding the Fourth Proportional to 34,116, 47,082.96 and 19,214.88

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Solution

The fourth proportional to 34,116, 47,082.96 and 19,214.88 is: 26,518.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,116 : 47,082.96 = 19,214.88 : x
  2. Step 2: Convert to fraction form
    34,116/47,082.96 = 19,214.88/x
  3. Step 3: Cross multiply
    34,116x = 47,082.96 × 19,214.88
  4. Step 4: Simplify right side
    34,116x = 904,693,426.44
  5. Step 5: Solve for x
    x = 904,693,426.44/34,116
  6. Step 6: Final answer
    x = 26,518.16

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1.5x scale

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.