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Finding the Fourth Proportional to 42,057.86, 58,029.87 and 23,907.16

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Solution

The fourth proportional to 42,057.86, 58,029.87 and 23,907.16 is: 32,986.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,057.86 : 58,029.87 = 23,907.16 : x
  2. Step 2: Convert to fraction form
    42,057.86/58,029.87 = 23,907.16/x
  3. Step 3: Cross multiply
    42,057.86x = 58,029.87 × 23,907.16
  4. Step 4: Simplify right side
    42,057.86x = 1,387,329,386.87
  5. Step 5: Solve for x
    x = 1,387,329,386.87/42,057.86
  6. Step 6: Final answer
    x = 32,986.21

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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.