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Finding the Fourth Proportional to 43,574.73, 65,360.74 and 12,409.98

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Solution

The fourth proportional to 43,574.73, 65,360.74 and 12,409.98 is: 18,614.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,574.73 : 65,360.74 = 12,409.98 : x
  2. Step 2: Convert to fraction form
    43,574.73/65,360.74 = 12,409.98/x
  3. Step 3: Cross multiply
    43,574.73x = 65,360.74 × 12,409.98
  4. Step 4: Simplify right side
    43,574.73x = 811,125,476.19
  5. Step 5: Solve for x
    x = 811,125,476.19/43,574.73
  6. Step 6: Final answer
    x = 18,614.58

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Why These Related Problems?

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