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Finding the Fourth Proportional to 34,210.42, 47,204.46 and 19,102.30

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Solution

The fourth proportional to 34,210.42, 47,204.46 and 19,102.30 is: 26,357.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,210.42 : 47,204.46 = 19,102.30 : x
  2. Step 2: Convert to fraction form
    34,210.42/47,204.46 = 19,102.30/x
  3. Step 3: Cross multiply
    34,210.42x = 47,204.46 × 19,102.30
  4. Step 4: Simplify right side
    34,210.42x = 901,713,756.26
  5. Step 5: Solve for x
    x = 901,713,756.26/34,210.42
  6. Step 6: Final answer
    x = 26,357.87

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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.