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Finding the Fourth Proportional to 30,684.01, 42,345.47 and 17,259.49

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Solution

The fourth proportional to 30,684.01, 42,345.47 and 17,259.49 is: 23,818.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,684.01 : 42,345.47 = 17,259.49 : x
  2. Step 2: Convert to fraction form
    30,684.01/42,345.47 = 17,259.49/x
  3. Step 3: Cross multiply
    30,684.01x = 42,345.47 × 17,259.49
  4. Step 4: Simplify right side
    30,684.01x = 730,861,129.71
  5. Step 5: Solve for x
    x = 730,861,129.71/30,684.01
  6. Step 6: Final answer
    x = 23,818.96

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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.