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Finding the Fourth Proportional to 34,681.77, 51,980.18 and 14,918.49

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Solution

The fourth proportional to 34,681.77, 51,980.18 and 14,918.49 is: 22,359.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,681.77 : 51,980.18 = 14,918.49 : x
  2. Step 2: Convert to fraction form
    34,681.77/51,980.18 = 14,918.49/x
  3. Step 3: Cross multiply
    34,681.77x = 51,980.18 × 14,918.49
  4. Step 4: Simplify right side
    34,681.77x = 775,465,720.94
  5. Step 5: Solve for x
    x = 775,465,720.94/34,681.77
  6. Step 6: Final answer
    x = 22,359.46

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Why These Related Problems?

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