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Finding the Fourth Proportional to 37,902.60, 56,853.90 and 10,200.60

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Solution

The fourth proportional to 37,902.60, 56,853.90 and 10,200.60 is: 15,300.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,902.60 : 56,853.90 = 10,200.60 : x
  2. Step 2: Convert to fraction form
    37,902.60/56,853.90 = 10,200.60/x
  3. Step 3: Cross multiply
    37,902.60x = 56,853.90 × 10,200.60
  4. Step 4: Simplify right side
    37,902.60x = 579,943,892.34
  5. Step 5: Solve for x
    x = 579,943,892.34/37,902.60
  6. Step 6: Final answer
    x = 15,300.90

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1.5x scale

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.