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Finding the Fourth Proportional to 52,649.19, 79,010.69 and 30,432

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Solution

The fourth proportional to 52,649.19, 79,010.69 and 30,432 is: 45,669.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,649.19 : 79,010.69 = 30,432 : x
  2. Step 2: Convert to fraction form
    52,649.19/79,010.69 = 30,432/x
  3. Step 3: Cross multiply
    52,649.19x = 79,010.69 × 30,432
  4. Step 4: Simplify right side
    52,649.19x = 2,404,453,165.92
  5. Step 5: Solve for x
    x = 2,404,453,165.92/52,649.19
  6. Step 6: Final answer
    x = 45,669.33

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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.