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Finding the Fourth Proportional to 34,031.60, 51,043.80 and 10,656.80

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Solution

The fourth proportional to 34,031.60, 51,043.80 and 10,656.80 is: 15,984.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,031.60 : 51,043.80 = 10,656.80 : x
  2. Step 2: Convert to fraction form
    34,031.60/51,043.80 = 10,656.80/x
  3. Step 3: Cross multiply
    34,031.60x = 51,043.80 × 10,656.80
  4. Step 4: Simplify right side
    34,031.60x = 543,963,567.84
  5. Step 5: Solve for x
    x = 543,963,567.84/34,031.60
  6. Step 6: Final answer
    x = 15,984.07

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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.