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Finding the Fourth Proportional to 56,284.39, 77,648.38 and 32,406

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Solution

The fourth proportional to 56,284.39, 77,648.38 and 32,406 is: 44,706.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,284.39 : 77,648.38 = 32,406 : x
  2. Step 2: Convert to fraction form
    56,284.39/77,648.38 = 32,406/x
  3. Step 3: Cross multiply
    56,284.39x = 77,648.38 × 32,406
  4. Step 4: Simplify right side
    56,284.39x = 2,516,273,402.28
  5. Step 5: Solve for x
    x = 2,516,273,402.28/56,284.39
  6. Step 6: Final answer
    x = 44,706.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.