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Finding the Fourth Proportional to 30,368.42, 45,581.82 and 14,796.98

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Solution

The fourth proportional to 30,368.42, 45,581.82 and 14,796.98 is: 22,209.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,368.42 : 45,581.82 = 14,796.98 : x
  2. Step 2: Convert to fraction form
    30,368.42/45,581.82 = 14,796.98/x
  3. Step 3: Cross multiply
    30,368.42x = 45,581.82 × 14,796.98
  4. Step 4: Simplify right side
    30,368.42x = 674,473,278.90
  5. Step 5: Solve for x
    x = 674,473,278.90/30,368.42
  6. Step 6: Final answer
    x = 22,209.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.