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Finding the Fourth Proportional to 56,223.20, 84,339.60 and 19,287.20

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Solution

The fourth proportional to 56,223.20, 84,339.60 and 19,287.20 is: 28,932.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,223.20 : 84,339.60 = 19,287.20 : x
  2. Step 2: Convert to fraction form
    56,223.20/84,339.60 = 19,287.20/x
  3. Step 3: Cross multiply
    56,223.20x = 84,339.60 × 19,287.20
  4. Step 4: Simplify right side
    56,223.20x = 1,626,674,733.12
  5. Step 5: Solve for x
    x = 1,626,674,733.12/56,223.20
  6. Step 6: Final answer
    x = 28,932.45

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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.