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Finding the Fourth Proportional to 30,459.98, 42,017.88 and 17,711.75

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Solution

The fourth proportional to 30,459.98, 42,017.88 and 17,711.75 is: 24,432.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,459.98 : 42,017.88 = 17,711.75 : x
  2. Step 2: Convert to fraction form
    30,459.98/42,017.88 = 17,711.75/x
  3. Step 3: Cross multiply
    30,459.98x = 42,017.88 × 17,711.75
  4. Step 4: Simplify right side
    30,459.98x = 744,209,976.00
  5. Step 5: Solve for x
    x = 744,209,976.00/30,459.98
  6. Step 6: Final answer
    x = 24,432.39

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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.