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Finding the Fourth Proportional to 57,646.38, 79,569.77 and 33,780.81

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Solution

The fourth proportional to 57,646.38, 79,569.77 and 33,780.81 is: 46,627.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,646.38 : 79,569.77 = 33,780.81 : x
  2. Step 2: Convert to fraction form
    57,646.38/79,569.77 = 33,780.81/x
  3. Step 3: Cross multiply
    57,646.38x = 79,569.77 × 33,780.81
  4. Step 4: Simplify right side
    57,646.38x = 2,687,931,282.11
  5. Step 5: Solve for x
    x = 2,687,931,282.11/57,646.38
  6. Step 6: Final answer
    x = 46,627.93

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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.