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Finding the Fourth Proportional to 120,697.47, 181,063.12 and 36,448.08

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Solution

The fourth proportional to 120,697.47, 181,063.12 and 36,448.08 is: 54,677.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,697.47 : 181,063.12 = 36,448.08 : x
  2. Step 2: Convert to fraction form
    120,697.47/181,063.12 = 36,448.08/x
  3. Step 3: Cross multiply
    120,697.47x = 181,063.12 × 36,448.08
  4. Step 4: Simplify right side
    120,697.47x = 6,599,403,082.81
  5. Step 5: Solve for x
    x = 6,599,403,082.81/120,697.47
  6. Step 6: Final answer
    x = 54,677.23

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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.