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Finding the Fourth Proportional to 37,411, 56,116.42 and 21,817.69

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Solution

The fourth proportional to 37,411, 56,116.42 and 21,817.69 is: 32,726.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,411 : 56,116.42 = 21,817.69 : x
  2. Step 2: Convert to fraction form
    37,411/56,116.42 = 21,817.69/x
  3. Step 3: Cross multiply
    37,411x = 56,116.42 × 21,817.69
  4. Step 4: Simplify right side
    37,411x = 1,224,330,655.47
  5. Step 5: Solve for x
    x = 1,224,330,655.47/37,411
  6. Step 6: Final answer
    x = 32,726.49

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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.