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Finding the Fourth Proportional to 52,636, 78,992.96 and 24,934.08

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Solution

The fourth proportional to 52,636, 78,992.96 and 24,934.08 is: 37,419.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,636 : 78,992.96 = 24,934.08 : x
  2. Step 2: Convert to fraction form
    52,636/78,992.96 = 24,934.08/x
  3. Step 3: Cross multiply
    52,636x = 78,992.96 × 24,934.08
  4. Step 4: Simplify right side
    52,636x = 1,969,616,784.08
  5. Step 5: Solve for x
    x = 1,969,616,784.08/52,636
  6. Step 6: Final answer
    x = 37,419.58

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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.