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Finding the Fourth Proportional to 34,006.93, 51,014.19 and 9,047.94

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Solution

The fourth proportional to 34,006.93, 51,014.19 and 9,047.94 is: 13,572.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,006.93 : 51,014.19 = 9,047.94 : x
  2. Step 2: Convert to fraction form
    34,006.93/51,014.19 = 9,047.94/x
  3. Step 3: Cross multiply
    34,006.93x = 51,014.19 × 9,047.94
  4. Step 4: Simplify right side
    34,006.93x = 461,573,330.27
  5. Step 5: Solve for x
    x = 461,573,330.27/34,006.93
  6. Step 6: Final answer
    x = 13,572.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.