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Finding the Fourth Proportional to 34,091, 47,049.90 and 19,189.88

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Solution

The fourth proportional to 34,091, 47,049.90 and 19,189.88 is: 26,484.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,091 : 47,049.90 = 19,189.88 : x
  2. Step 2: Convert to fraction form
    34,091/47,049.90 = 19,189.88/x
  3. Step 3: Cross multiply
    34,091x = 47,049.90 × 19,189.88
  4. Step 4: Simplify right side
    34,091x = 902,881,935.01
  5. Step 5: Solve for x
    x = 902,881,935.01/34,091
  6. Step 6: Final answer
    x = 26,484.47

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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.