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Finding the Fourth Proportional to 37,645.40, 56,473.47 and 12,339.50

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Solution

The fourth proportional to 37,645.40, 56,473.47 and 12,339.50 is: 18,511.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,645.40 : 56,473.47 = 12,339.50 : x
  2. Step 2: Convert to fraction form
    37,645.40/56,473.47 = 12,339.50/x
  3. Step 3: Cross multiply
    37,645.40x = 56,473.47 × 12,339.50
  4. Step 4: Simplify right side
    37,645.40x = 696,854,383.07
  5. Step 5: Solve for x
    x = 696,854,383.07/37,645.40
  6. Step 6: Final answer
    x = 18,511.01

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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.