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Finding the Fourth Proportional to 30,169.16, 45,236.11 and 9,102.89

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Solution

The fourth proportional to 30,169.16, 45,236.11 and 9,102.89 is: 13,649.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,169.16 : 45,236.11 = 9,102.89 : x
  2. Step 2: Convert to fraction form
    30,169.16/45,236.11 = 9,102.89/x
  3. Step 3: Cross multiply
    30,169.16x = 45,236.11 × 9,102.89
  4. Step 4: Simplify right side
    30,169.16x = 411,779,084.42
  5. Step 5: Solve for x
    x = 411,779,084.42/30,169.16
  6. Step 6: Final answer
    x = 13,649.01

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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.