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Finding the Fourth Proportional to 30,534.67, 45,808.53 and 9,474.25

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Solution

The fourth proportional to 30,534.67, 45,808.53 and 9,474.25 is: 14,213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,534.67 : 45,808.53 = 9,474.25 : x
  2. Step 2: Convert to fraction form
    30,534.67/45,808.53 = 9,474.25/x
  3. Step 3: Cross multiply
    30,534.67x = 45,808.53 × 9,474.25
  4. Step 4: Simplify right side
    30,534.67x = 434,001,465.35
  5. Step 5: Solve for x
    x = 434,001,465.35/30,534.67
  6. Step 6: Final answer
    x = 14,213.40

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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.