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Finding the Fourth Proportional to 56,646.44, 84,853 and 33,216.38

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Solution

The fourth proportional to 56,646.44, 84,853 and 33,216.38 is: 49,756.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,646.44 : 84,853 = 33,216.38 : x
  2. Step 2: Convert to fraction form
    56,646.44/84,853 = 33,216.38/x
  3. Step 3: Cross multiply
    56,646.44x = 84,853 × 33,216.38
  4. Step 4: Simplify right side
    56,646.44x = 2,818,509,492.14
  5. Step 5: Solve for x
    x = 2,818,509,492.14/56,646.44
  6. Step 6: Final answer
    x = 49,756.16

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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.