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Finding the Fourth Proportional to 30,985.38, 42,756.35 and 17,553.76

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Solution

The fourth proportional to 30,985.38, 42,756.35 and 17,553.76 is: 24,222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,985.38 : 42,756.35 = 17,553.76 : x
  2. Step 2: Convert to fraction form
    30,985.38/42,756.35 = 17,553.76/x
  3. Step 3: Cross multiply
    30,985.38x = 42,756.35 × 17,553.76
  4. Step 4: Simplify right side
    30,985.38x = 750,534,511.72
  5. Step 5: Solve for x
    x = 750,534,511.72/30,985.38
  6. Step 6: Final answer
    x = 24,222.21

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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.