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Finding the Fourth Proportional to 30,084.34, 41,497.14 and 24,130.30

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Solution

The fourth proportional to 30,084.34, 41,497.14 and 24,130.30 is: 33,284.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,084.34 : 41,497.14 = 24,130.30 : x
  2. Step 2: Convert to fraction form
    30,084.34/41,497.14 = 24,130.30/x
  3. Step 3: Cross multiply
    30,084.34x = 41,497.14 × 24,130.30
  4. Step 4: Simplify right side
    30,084.34x = 1,001,338,437.34
  5. Step 5: Solve for x
    x = 1,001,338,437.34/30,084.34
  6. Step 6: Final answer
    x = 33,284.37

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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.