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Finding the Fourth Proportional to 75,537, 113,305.77 and 30,557.70

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Solution

The fourth proportional to 75,537, 113,305.77 and 30,557.70 is: 45,836.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,537 : 113,305.77 = 30,557.70 : x
  2. Step 2: Convert to fraction form
    75,537/113,305.77 = 30,557.70/x
  3. Step 3: Cross multiply
    75,537x = 113,305.77 × 30,557.70
  4. Step 4: Simplify right side
    75,537x = 3,462,363,727.93
  5. Step 5: Solve for x
    x = 3,462,363,727.93/75,537
  6. Step 6: Final answer
    x = 45,836.66

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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.