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Finding the Fourth Proportional to 37,546, 56,297.13 and 16,485.19

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Solution

The fourth proportional to 37,546, 56,297.13 and 16,485.19 is: 24,718.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,546 : 56,297.13 = 16,485.19 : x
  2. Step 2: Convert to fraction form
    37,546/56,297.13 = 16,485.19/x
  3. Step 3: Cross multiply
    37,546x = 56,297.13 × 16,485.19
  4. Step 4: Simplify right side
    37,546x = 928,068,884.50
  5. Step 5: Solve for x
    x = 928,068,884.50/37,546
  6. Step 6: Final answer
    x = 24,718.18

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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.