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Finding the Fourth Proportional to 30,457, 42,030.66 and 17,209

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Solution

The fourth proportional to 30,457, 42,030.66 and 17,209 is: 23,748.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,457 : 42,030.66 = 17,209 : x
  2. Step 2: Convert to fraction form
    30,457/42,030.66 = 17,209/x
  3. Step 3: Cross multiply
    30,457x = 42,030.66 × 17,209
  4. Step 4: Simplify right side
    30,457x = 723,305,627.94
  5. Step 5: Solve for x
    x = 723,305,627.94/30,457
  6. Step 6: Final answer
    x = 23,748.42

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