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Finding the Fourth Proportional to 30,730.67, 42,409.11 and 17,302.39

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Solution

The fourth proportional to 30,730.67, 42,409.11 and 17,302.39 is: 23,877.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,730.67 : 42,409.11 = 17,302.39 : x
  2. Step 2: Convert to fraction form
    30,730.67/42,409.11 = 17,302.39/x
  3. Step 3: Cross multiply
    30,730.67x = 42,409.11 × 17,302.39
  4. Step 4: Simplify right side
    30,730.67x = 733,779,109.52
  5. Step 5: Solve for x
    x = 733,779,109.52/30,730.67
  6. Step 6: Final answer
    x = 23,877.75

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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.