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Finding the Fourth Proportional to 37,704, 56,531.04 and 17,985.60

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Solution

The fourth proportional to 37,704, 56,531.04 and 17,985.60 is: 26,966.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,704 : 56,531.04 = 17,985.60 : x
  2. Step 2: Convert to fraction form
    37,704/56,531.04 = 17,985.60/x
  3. Step 3: Cross multiply
    37,704x = 56,531.04 × 17,985.60
  4. Step 4: Simplify right side
    37,704x = 1,016,744,673.02
  5. Step 5: Solve for x
    x = 1,016,744,673.02/37,704
  6. Step 6: Final answer
    x = 26,966.49

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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.