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Finding the Fourth Proportional to 30,470.30, 42,047.73 and 17,723.51

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Solution

The fourth proportional to 30,470.30, 42,047.73 and 17,723.51 is: 24,457.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,470.30 : 42,047.73 = 17,723.51 : x
  2. Step 2: Convert to fraction form
    30,470.30/42,047.73 = 17,723.51/x
  3. Step 3: Cross multiply
    30,470.30x = 42,047.73 × 17,723.51
  4. Step 4: Simplify right side
    30,470.30x = 745,233,360.42
  5. Step 5: Solve for x
    x = 745,233,360.42/30,470.30
  6. Step 6: Final answer
    x = 24,457.70

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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.