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Finding the Fourth Proportional to 37,643.80, 56,136.75 and 32,985.48

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Solution

The fourth proportional to 37,643.80, 56,136.75 and 32,985.48 is: 49,189.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,643.80 : 56,136.75 = 32,985.48 : x
  2. Step 2: Convert to fraction form
    37,643.80/56,136.75 = 32,985.48/x
  3. Step 3: Cross multiply
    37,643.80x = 56,136.75 × 32,985.48
  4. Step 4: Simplify right side
    37,643.80x = 1,851,697,644.39
  5. Step 5: Solve for x
    x = 1,851,697,644.39/37,643.80
  6. Step 6: Final answer
    x = 49,189.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.