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Finding the Fourth Proportional to 56,196.63, 83,884.99 and 49,102.68

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Solution

The fourth proportional to 56,196.63, 83,884.99 and 49,102.68 is: 73,295.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,196.63 : 83,884.99 = 49,102.68 : x
  2. Step 2: Convert to fraction form
    56,196.63/83,884.99 = 49,102.68/x
  3. Step 3: Cross multiply
    56,196.63x = 83,884.99 × 49,102.68
  4. Step 4: Simplify right side
    56,196.63x = 4,118,977,567.58
  5. Step 5: Solve for x
    x = 4,118,977,567.58/56,196.63
  6. Step 6: Final answer
    x = 73,295.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.