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Finding the Fourth Proportional to 30,846, 42,567.48 and 17,598

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Solution

The fourth proportional to 30,846, 42,567.48 and 17,598 is: 24,285.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,846 : 42,567.48 = 17,598 : x
  2. Step 2: Convert to fraction form
    30,846/42,567.48 = 17,598/x
  3. Step 3: Cross multiply
    30,846x = 42,567.48 × 17,598
  4. Step 4: Simplify right side
    30,846x = 749,102,513.04
  5. Step 5: Solve for x
    x = 749,102,513.04/30,846
  6. Step 6: Final answer
    x = 24,285.24

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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.