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Finding the Fourth Proportional to 46,383.84, 64,034.51 and 36,290.84

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Solution

The fourth proportional to 46,383.84, 64,034.51 and 36,290.84 is: 50,100.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,383.84 : 64,034.51 = 36,290.84 : x
  2. Step 2: Convert to fraction form
    46,383.84/64,034.51 = 36,290.84/x
  3. Step 3: Cross multiply
    46,383.84x = 64,034.51 × 36,290.84
  4. Step 4: Simplify right side
    46,383.84x = 2,323,865,655.26
  5. Step 5: Solve for x
    x = 2,323,865,655.26/46,383.84
  6. Step 6: Final answer
    x = 50,100.76

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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.