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Finding the Fourth Proportional to 30,430.64, 45,653.24 and 9,654.12

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Solution

The fourth proportional to 30,430.64, 45,653.24 and 9,654.12 is: 14,483.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,430.64 : 45,653.24 = 9,654.12 : x
  2. Step 2: Convert to fraction form
    30,430.64/45,653.24 = 9,654.12/x
  3. Step 3: Cross multiply
    30,430.64x = 45,653.24 × 9,654.12
  4. Step 4: Simplify right side
    30,430.64x = 440,741,857.35
  5. Step 5: Solve for x
    x = 440,741,857.35/30,430.64
  6. Step 6: Final answer
    x = 14,483.49

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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.