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Finding the Fourth Proportional to 37,670.40, 51,985.14 and 20,903.40

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Solution

The fourth proportional to 37,670.40, 51,985.14 and 20,903.40 is: 28,846.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,670.40 : 51,985.14 = 20,903.40 : x
  2. Step 2: Convert to fraction form
    37,670.40/51,985.14 = 20,903.40/x
  3. Step 3: Cross multiply
    37,670.40x = 51,985.14 × 20,903.40
  4. Step 4: Simplify right side
    37,670.40x = 1,086,666,175.48
  5. Step 5: Solve for x
    x = 1,086,666,175.48/37,670.40
  6. Step 6: Final answer
    x = 28,846.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.