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Finding the Fourth Proportional to 37,809.42, 56,726.76 and 16,746.60

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Solution

The fourth proportional to 37,809.42, 56,726.76 and 16,746.60 is: 25,125.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,809.42 : 56,726.76 = 16,746.60 : x
  2. Step 2: Convert to fraction form
    37,809.42/56,726.76 = 16,746.60/x
  3. Step 3: Cross multiply
    37,809.42x = 56,726.76 × 16,746.60
  4. Step 4: Simplify right side
    37,809.42x = 949,980,359.02
  5. Step 5: Solve for x
    x = 949,980,359.02/37,809.42
  6. Step 6: Final answer
    x = 25,125.49

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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.