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Finding the Fourth Proportional to 37,842, 56,675.52 and 36,529.80

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Solution

The fourth proportional to 37,842, 56,675.52 and 36,529.80 is: 54,710.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,842 : 56,675.52 = 36,529.80 : x
  2. Step 2: Convert to fraction form
    37,842/56,675.52 = 36,529.80/x
  3. Step 3: Cross multiply
    37,842x = 56,675.52 × 36,529.80
  4. Step 4: Simplify right side
    37,842x = 2,070,345,410.50
  5. Step 5: Solve for x
    x = 2,070,345,410.50/37,842
  6. Step 6: Final answer
    x = 54,710.25

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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.