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Finding the Fourth Proportional to 30,457.16, 42,032.98 and 17,028.18

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Solution

The fourth proportional to 30,457.16, 42,032.98 and 17,028.18 is: 23,500.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,457.16 : 42,032.98 = 17,028.18 : x
  2. Step 2: Convert to fraction form
    30,457.16/42,032.98 = 17,028.18/x
  3. Step 3: Cross multiply
    30,457.16x = 42,032.98 × 17,028.18
  4. Step 4: Simplify right side
    30,457.16x = 715,745,149.38
  5. Step 5: Solve for x
    x = 715,745,149.38/30,457.16
  6. Step 6: Final answer
    x = 23,500.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.