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Finding the Fourth Proportional to 56,292.64, 84,447.60 and 19,348

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Solution

The fourth proportional to 56,292.64, 84,447.60 and 19,348 is: 29,024.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,292.64 : 84,447.60 = 19,348 : x
  2. Step 2: Convert to fraction form
    56,292.64/84,447.60 = 19,348/x
  3. Step 3: Cross multiply
    56,292.64x = 84,447.60 × 19,348
  4. Step 4: Simplify right side
    56,292.64x = 1,633,892,164.80
  5. Step 5: Solve for x
    x = 1,633,892,164.80/56,292.64
  6. Step 6: Final answer
    x = 29,024.97

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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.