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Finding the Fourth Proportional to 30,537.63, 46,014.49 and 25,112.51

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Solution

The fourth proportional to 30,537.63, 46,014.49 and 25,112.51 is: 37,839.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,537.63 : 46,014.49 = 25,112.51 : x
  2. Step 2: Convert to fraction form
    30,537.63/46,014.49 = 25,112.51/x
  3. Step 3: Cross multiply
    30,537.63x = 46,014.49 × 25,112.51
  4. Step 4: Simplify right side
    30,537.63x = 1,155,539,214.71
  5. Step 5: Solve for x
    x = 1,155,539,214.71/30,537.63
  6. Step 6: Final answer
    x = 37,839.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.