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Finding the Fourth Proportional to 30,515.94, 42,094.80 and 17,767.62

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Solution

The fourth proportional to 30,515.94, 42,094.80 and 17,767.62 is: 24,509.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,515.94 : 42,094.80 = 17,767.62 : x
  2. Step 2: Convert to fraction form
    30,515.94/42,094.80 = 17,767.62/x
  3. Step 3: Cross multiply
    30,515.94x = 42,094.80 × 17,767.62
  4. Step 4: Simplify right side
    30,515.94x = 747,924,410.38
  5. Step 5: Solve for x
    x = 747,924,410.38/30,515.94
  6. Step 6: Final answer
    x = 24,509.30

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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.