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Finding the Fourth Proportional to 37,597, 56,396.40 and 12,637.36

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Solution

The fourth proportional to 37,597, 56,396.40 and 12,637.36 is: 18,956.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,597 : 56,396.40 = 12,637.36 : x
  2. Step 2: Convert to fraction form
    37,597/56,396.40 = 12,637.36/x
  3. Step 3: Cross multiply
    37,597x = 56,396.40 × 12,637.36
  4. Step 4: Simplify right side
    37,597x = 712,701,609.50
  5. Step 5: Solve for x
    x = 712,701,609.50/37,597
  6. Step 6: Final answer
    x = 18,956.34

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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.