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Finding the Fourth Proportional to 120,753.48, 181,130.24 and 37,647.48

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Solution

The fourth proportional to 120,753.48, 181,130.24 and 37,647.48 is: 56,471.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,753.48 : 181,130.24 = 37,647.48 : x
  2. Step 2: Convert to fraction form
    120,753.48/181,130.24 = 37,647.48/x
  3. Step 3: Cross multiply
    120,753.48x = 181,130.24 × 37,647.48
  4. Step 4: Simplify right side
    120,753.48x = 6,819,097,861.15
  5. Step 5: Solve for x
    x = 6,819,097,861.15/120,753.48
  6. Step 6: Final answer
    x = 56,471.23

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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.