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Finding the Fourth Proportional to 30,429.87, 42,004.94 and 27,237.54

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Solution

The fourth proportional to 30,429.87, 42,004.94 and 27,237.54 is: 37,598.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,429.87 : 42,004.94 = 27,237.54 : x
  2. Step 2: Convert to fraction form
    30,429.87/42,004.94 = 27,237.54/x
  3. Step 3: Cross multiply
    30,429.87x = 42,004.94 × 27,237.54
  4. Step 4: Simplify right side
    30,429.87x = 1,144,111,210.04
  5. Step 5: Solve for x
    x = 1,144,111,210.04/30,429.87
  6. Step 6: Final answer
    x = 37,598.29

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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.