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Finding the Fourth Proportional to 30,523.53, 45,767.63 and 9,457.97

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Solution

The fourth proportional to 30,523.53, 45,767.63 and 9,457.97 is: 14,181.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,523.53 : 45,767.63 = 9,457.97 : x
  2. Step 2: Convert to fraction form
    30,523.53/45,767.63 = 9,457.97/x
  3. Step 3: Cross multiply
    30,523.53x = 45,767.63 × 9,457.97
  4. Step 4: Simplify right side
    30,523.53x = 432,868,666.32
  5. Step 5: Solve for x
    x = 432,868,666.32/30,523.53
  6. Step 6: Final answer
    x = 14,181.47

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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.