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Finding the Fourth Proportional to 30,462.39, 42,035.49 and 17,715.83

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Solution

The fourth proportional to 30,462.39, 42,035.49 and 17,715.83 is: 24,446.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,462.39 : 42,035.49 = 17,715.83 : x
  2. Step 2: Convert to fraction form
    30,462.39/42,035.49 = 17,715.83/x
  3. Step 3: Cross multiply
    30,462.39x = 42,035.49 × 17,715.83
  4. Step 4: Simplify right side
    30,462.39x = 744,693,384.63
  5. Step 5: Solve for x
    x = 744,693,384.63/30,462.39
  6. Step 6: Final answer
    x = 24,446.32

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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.