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Finding the Fourth Proportional to 31,031.55, 46,472.94 and 16,970.49

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Solution

The fourth proportional to 31,031.55, 46,472.94 and 16,970.49 is: 25,415.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,031.55 : 46,472.94 = 16,970.49 : x
  2. Step 2: Convert to fraction form
    31,031.55/46,472.94 = 16,970.49/x
  3. Step 3: Cross multiply
    31,031.55x = 46,472.94 × 16,970.49
  4. Step 4: Simplify right side
    31,031.55x = 788,668,563.54
  5. Step 5: Solve for x
    x = 788,668,563.54/31,031.55
  6. Step 6: Final answer
    x = 25,415.06

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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.