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Finding the Fourth Proportional to 30,141, 41,594.64 and 16,893

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Solution

The fourth proportional to 30,141, 41,594.64 and 16,893 is: 23,312.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,141 : 41,594.64 = 16,893 : x
  2. Step 2: Convert to fraction form
    30,141/41,594.64 = 16,893/x
  3. Step 3: Cross multiply
    30,141x = 41,594.64 × 16,893
  4. Step 4: Simplify right side
    30,141x = 702,658,253.52
  5. Step 5: Solve for x
    x = 702,658,253.52/30,141
  6. Step 6: Final answer
    x = 23,312.37

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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.