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Finding the Fourth Proportional to 31,013.53, 42,802.76 and 30,169.15

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Solution

The fourth proportional to 31,013.53, 42,802.76 and 30,169.15 is: 41,637.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,013.53 : 42,802.76 = 30,169.15 : x
  2. Step 2: Convert to fraction form
    31,013.53/42,802.76 = 30,169.15/x
  3. Step 3: Cross multiply
    31,013.53x = 42,802.76 × 30,169.15
  4. Step 4: Simplify right side
    31,013.53x = 1,291,322,886.85
  5. Step 5: Solve for x
    x = 1,291,322,886.85/31,013.53
  6. Step 6: Final answer
    x = 41,637.40

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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.