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Finding the Fourth Proportional to 52,647.69, 79,008.44 and 30,430.50

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Solution

The fourth proportional to 52,647.69, 79,008.44 and 30,430.50 is: 45,667.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,647.69 : 79,008.44 = 30,430.50 : x
  2. Step 2: Convert to fraction form
    52,647.69/79,008.44 = 30,430.50/x
  3. Step 3: Cross multiply
    52,647.69x = 79,008.44 × 30,430.50
  4. Step 4: Simplify right side
    52,647.69x = 2,404,266,181.27
  5. Step 5: Solve for x
    x = 2,404,266,181.27/52,647.69
  6. Step 6: Final answer
    x = 45,667.08

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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.