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Finding the Fourth Proportional to 37,991.50, 56,988.06 and 13,031.44

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Solution

The fourth proportional to 37,991.50, 56,988.06 and 13,031.44 is: 19,547.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,991.50 : 56,988.06 = 13,031.44 : x
  2. Step 2: Convert to fraction form
    37,991.50/56,988.06 = 13,031.44/x
  3. Step 3: Cross multiply
    37,991.50x = 56,988.06 × 13,031.44
  4. Step 4: Simplify right side
    37,991.50x = 742,636,484.61
  5. Step 5: Solve for x
    x = 742,636,484.61/37,991.50
  6. Step 6: Final answer
    x = 19,547.44

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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.