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Finding the Fourth Proportional to 120,059.08, 180,090.94 and 36,953

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Solution

The fourth proportional to 120,059.08, 180,090.94 and 36,953 is: 55,430.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,059.08 : 180,090.94 = 36,953 : x
  2. Step 2: Convert to fraction form
    120,059.08/180,090.94 = 36,953/x
  3. Step 3: Cross multiply
    120,059.08x = 180,090.94 × 36,953
  4. Step 4: Simplify right side
    120,059.08x = 6,654,900,505.82
  5. Step 5: Solve for x
    x = 6,654,900,505.82/120,059.08
  6. Step 6: Final answer
    x = 55,430.21

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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.