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Finding the Fourth Proportional to 30,102.51, 41,541.42 and 16,673.76

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Solution

The fourth proportional to 30,102.51, 41,541.42 and 16,673.76 is: 23,009.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,102.51 : 41,541.42 = 16,673.76 : x
  2. Step 2: Convert to fraction form
    30,102.51/41,541.42 = 16,673.76/x
  3. Step 3: Cross multiply
    30,102.51x = 41,541.42 × 16,673.76
  4. Step 4: Simplify right side
    30,102.51x = 692,651,667.14
  5. Step 5: Solve for x
    x = 692,651,667.14/30,102.51
  6. Step 6: Final answer
    x = 23,009.76

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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.