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Finding the Fourth Proportional to 70,848.60, 106,156.25 and 49,503.48

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Solution

The fourth proportional to 70,848.60, 106,156.25 and 49,503.48 is: 74,173.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,848.60 : 106,156.25 = 49,503.48 : x
  2. Step 2: Convert to fraction form
    70,848.60/106,156.25 = 49,503.48/x
  3. Step 3: Cross multiply
    70,848.60x = 106,156.25 × 49,503.48
  4. Step 4: Simplify right side
    70,848.60x = 5,255,103,798.75
  5. Step 5: Solve for x
    x = 5,255,103,798.75/70,848.60
  6. Step 6: Final answer
    x = 74,173.71

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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.