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Finding the Fourth Proportional to 37,655, 56,491.18 and 13,031

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Solution

The fourth proportional to 37,655, 56,491.18 and 13,031 is: 19,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,655 : 56,491.18 = 13,031 : x
  2. Step 2: Convert to fraction form
    37,655/56,491.18 = 13,031/x
  3. Step 3: Cross multiply
    37,655x = 56,491.18 × 13,031
  4. Step 4: Simplify right side
    37,655x = 736,136,566.58
  5. Step 5: Solve for x
    x = 736,136,566.58/37,655
  6. Step 6: Final answer
    x = 19,549.50

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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.