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Finding the Fourth Proportional to 34,106.94, 51,147.93 and 13,036.56

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Solution

The fourth proportional to 34,106.94, 51,147.93 and 13,036.56 is: 19,550.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,106.94 : 51,147.93 = 13,036.56 : x
  2. Step 2: Convert to fraction form
    34,106.94/51,147.93 = 13,036.56/x
  3. Step 3: Cross multiply
    34,106.94x = 51,147.93 × 13,036.56
  4. Step 4: Simplify right side
    34,106.94x = 666,793,011.31
  5. Step 5: Solve for x
    x = 666,793,011.31/34,106.94
  6. Step 6: Final answer
    x = 19,550.07

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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.