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Finding the Fourth Proportional to 30,431.16, 45,654.12 and 9,654.84

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Solution

The fourth proportional to 30,431.16, 45,654.12 and 9,654.84 is: 14,484.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,431.16 : 45,654.12 = 9,654.84 : x
  2. Step 2: Convert to fraction form
    30,431.16/45,654.12 = 9,654.84/x
  3. Step 3: Cross multiply
    30,431.16x = 45,654.12 × 9,654.84
  4. Step 4: Simplify right side
    30,431.16x = 440,783,223.94
  5. Step 5: Solve for x
    x = 440,783,223.94/30,431.16
  6. Step 6: Final answer
    x = 14,484.60

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1.5x scale

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.