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Finding the Fourth Proportional to 42,102.51, 58,021.08 and 30,145.08

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Solution

The fourth proportional to 42,102.51, 58,021.08 and 30,145.08 is: 41,542.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,102.51 : 58,021.08 = 30,145.08 : x
  2. Step 2: Convert to fraction form
    42,102.51/58,021.08 = 30,145.08/x
  3. Step 3: Cross multiply
    42,102.51x = 58,021.08 × 30,145.08
  4. Step 4: Simplify right side
    42,102.51x = 1,749,050,098.29
  5. Step 5: Solve for x
    x = 1,749,050,098.29/42,102.51
  6. Step 6: Final answer
    x = 41,542.66

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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.