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Finding the Fourth Proportional to 28,477, 42,677.97 and 24,761.53

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Solution

The fourth proportional to 28,477, 42,677.97 and 24,761.53 is: 37,109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,477 : 42,677.97 = 24,761.53 : x
  2. Step 2: Convert to fraction form
    28,477/42,677.97 = 24,761.53/x
  3. Step 3: Cross multiply
    28,477x = 42,677.97 × 24,761.53
  4. Step 4: Simplify right side
    28,477x = 1,056,771,834.49
  5. Step 5: Solve for x
    x = 1,056,771,834.49/28,477
  6. Step 6: Final answer
    x = 37,109.66

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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.