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Finding the Fourth Proportional to 46,492.79, 69,699.96 and 20,177.69

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Solution

The fourth proportional to 46,492.79, 69,699.96 and 20,177.69 is: 30,249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,492.79 : 69,699.96 = 20,177.69 : x
  2. Step 2: Convert to fraction form
    46,492.79/69,699.96 = 20,177.69/x
  3. Step 3: Cross multiply
    46,492.79x = 69,699.96 × 20,177.69
  4. Step 4: Simplify right side
    46,492.79x = 1,406,383,837.39
  5. Step 5: Solve for x
    x = 1,406,383,837.39/46,492.79
  6. Step 6: Final answer
    x = 30,249.51

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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.