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Finding the Fourth Proportional to 35,619.69, 53,409.79 and 14,574.50

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Solution

The fourth proportional to 35,619.69, 53,409.79 and 14,574.50 is: 21,853.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,619.69 : 53,409.79 = 14,574.50 : x
  2. Step 2: Convert to fraction form
    35,619.69/53,409.79 = 14,574.50/x
  3. Step 3: Cross multiply
    35,619.69x = 53,409.79 × 14,574.50
  4. Step 4: Simplify right side
    35,619.69x = 778,420,984.36
  5. Step 5: Solve for x
    x = 778,420,984.36/35,619.69
  6. Step 6: Final answer
    x = 21,853.67

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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.