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Finding the Fourth Proportional to 35,458.80, 53,231.40 and 19,676.40

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Solution

The fourth proportional to 35,458.80, 53,231.40 and 19,676.40 is: 29,538.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,458.80 : 53,231.40 = 19,676.40 : x
  2. Step 2: Convert to fraction form
    35,458.80/53,231.40 = 19,676.40/x
  3. Step 3: Cross multiply
    35,458.80x = 53,231.40 × 19,676.40
  4. Step 4: Simplify right side
    35,458.80x = 1,047,402,318.96
  5. Step 5: Solve for x
    x = 1,047,402,318.96/35,458.80
  6. Step 6: Final answer
    x = 29,538.57

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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.