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Finding the Fourth Proportional to 31,031.55, 46,548.80 and 8,846.46

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Solution

The fourth proportional to 31,031.55, 46,548.80 and 8,846.46 is: 13,270.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,031.55 : 46,548.80 = 8,846.46 : x
  2. Step 2: Convert to fraction form
    31,031.55/46,548.80 = 8,846.46/x
  3. Step 3: Cross multiply
    31,031.55x = 46,548.80 × 8,846.46
  4. Step 4: Simplify right side
    31,031.55x = 411,792,097.25
  5. Step 5: Solve for x
    x = 411,792,097.25/31,031.55
  6. Step 6: Final answer
    x = 13,270.11

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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.