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Finding the Fourth Proportional to 85,646.63, 128,506.70 and 33,093.02

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Solution

The fourth proportional to 85,646.63, 128,506.70 and 33,093.02 is: 49,653.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,646.63 : 128,506.70 = 33,093.02 : x
  2. Step 2: Convert to fraction form
    85,646.63/128,506.70 = 33,093.02/x
  3. Step 3: Cross multiply
    85,646.63x = 128,506.70 × 33,093.02
  4. Step 4: Simplify right side
    85,646.63x = 4,252,675,197.23
  5. Step 5: Solve for x
    x = 4,252,675,197.23/85,646.63
  6. Step 6: Final answer
    x = 49,653.74

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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.