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Finding the Fourth Proportional to 37,064.50, 55,602.51 and 12,446.26

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Solution

The fourth proportional to 37,064.50, 55,602.51 and 12,446.26 is: 18,671.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,064.50 : 55,602.51 = 12,446.26 : x
  2. Step 2: Convert to fraction form
    37,064.50/55,602.51 = 12,446.26/x
  3. Step 3: Cross multiply
    37,064.50x = 55,602.51 × 12,446.26
  4. Step 4: Simplify right side
    37,064.50x = 692,043,296.11
  5. Step 5: Solve for x
    x = 692,043,296.11/37,064.50
  6. Step 6: Final answer
    x = 18,671.32

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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.