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Finding the Fourth Proportional to 31,203.40, 46,805.10 and 15,615.40

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Solution

The fourth proportional to 31,203.40, 46,805.10 and 15,615.40 is: 23,423.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,203.40 : 46,805.10 = 15,615.40 : x
  2. Step 2: Convert to fraction form
    31,203.40/46,805.10 = 15,615.40/x
  3. Step 3: Cross multiply
    31,203.40x = 46,805.10 × 15,615.40
  4. Step 4: Simplify right side
    31,203.40x = 730,880,358.54
  5. Step 5: Solve for x
    x = 730,880,358.54/31,203.40
  6. Step 6: Final answer
    x = 23,423.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.