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Finding the Fourth Proportional to 37,506, 56,257.11 and 12,548.64

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Solution

The fourth proportional to 37,506, 56,257.11 and 12,548.64 is: 18,822.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,506 : 56,257.11 = 12,548.64 : x
  2. Step 2: Convert to fraction form
    37,506/56,257.11 = 12,548.64/x
  3. Step 3: Cross multiply
    37,506x = 56,257.11 × 12,548.64
  4. Step 4: Simplify right side
    37,506x = 705,950,220.83
  5. Step 5: Solve for x
    x = 705,950,220.83/37,506
  6. Step 6: Final answer
    x = 18,822.33

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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.