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Finding the Fourth Proportional to 34,114.70, 47,075.07 and 19,005.82

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Solution

The fourth proportional to 34,114.70, 47,075.07 and 19,005.82 is: 26,226.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,114.70 : 47,075.07 = 19,005.82 : x
  2. Step 2: Convert to fraction form
    34,114.70/47,075.07 = 19,005.82/x
  3. Step 3: Cross multiply
    34,114.70x = 47,075.07 × 19,005.82
  4. Step 4: Simplify right side
    34,114.70x = 894,700,306.91
  5. Step 5: Solve for x
    x = 894,700,306.91/34,114.70
  6. Step 6: Final answer
    x = 26,226.24

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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.