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Finding the Fourth Proportional to 30,536.70, 46,013.07 and 25,111.57

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Solution

The fourth proportional to 30,536.70, 46,013.07 and 25,111.57 is: 37,838.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,536.70 : 46,013.07 = 25,111.57 : x
  2. Step 2: Convert to fraction form
    30,536.70/46,013.07 = 25,111.57/x
  3. Step 3: Cross multiply
    30,536.70x = 46,013.07 × 25,111.57
  4. Step 4: Simplify right side
    30,536.70x = 1,155,460,428.22
  5. Step 5: Solve for x
    x = 1,155,460,428.22/30,536.70
  6. Step 6: Final answer
    x = 37,838.42

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