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Finding the Fourth Proportional to 34,196.40, 51,287.40 and 14,475.60

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Solution

The fourth proportional to 34,196.40, 51,287.40 and 14,475.60 is: 21,710.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,196.40 : 51,287.40 = 14,475.60 : x
  2. Step 2: Convert to fraction form
    34,196.40/51,287.40 = 14,475.60/x
  3. Step 3: Cross multiply
    34,196.40x = 51,287.40 × 14,475.60
  4. Step 4: Simplify right side
    34,196.40x = 742,415,887.44
  5. Step 5: Solve for x
    x = 742,415,887.44/34,196.40
  6. Step 6: Final answer
    x = 21,710.35

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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.