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Finding the Fourth Proportional to 34,844, 52,274.88 and 10,220

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Solution

The fourth proportional to 34,844, 52,274.88 and 10,220 is: 15,332.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,844 : 52,274.88 = 10,220 : x
  2. Step 2: Convert to fraction form
    34,844/52,274.88 = 10,220/x
  3. Step 3: Cross multiply
    34,844x = 52,274.88 × 10,220
  4. Step 4: Simplify right side
    34,844x = 534,249,273.60
  5. Step 5: Solve for x
    x = 534,249,273.60/34,844
  6. Step 6: Final answer
    x = 15,332.60

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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.