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Finding the Fourth Proportional to 36,106.49, 54,146.46 and 12,407.31

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Solution

The fourth proportional to 36,106.49, 54,146.46 and 12,407.31 is: 18,606.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,106.49 : 54,146.46 = 12,407.31 : x
  2. Step 2: Convert to fraction form
    36,106.49/54,146.46 = 12,407.31/x
  3. Step 3: Cross multiply
    36,106.49x = 54,146.46 × 12,407.31
  4. Step 4: Simplify right side
    36,106.49x = 671,811,852.59
  5. Step 5: Solve for x
    x = 671,811,852.59/36,106.49
  6. Step 6: Final answer
    x = 18,606.40

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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.