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Finding the Fourth Proportional to 70,175.76, 105,268.97 and 23,428.63

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Solution

The fourth proportional to 70,175.76, 105,268.97 and 23,428.63 is: 35,144.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,175.76 : 105,268.97 = 23,428.63 : x
  2. Step 2: Convert to fraction form
    70,175.76/105,268.97 = 23,428.63/x
  3. Step 3: Cross multiply
    70,175.76x = 105,268.97 × 23,428.63
  4. Step 4: Simplify right side
    70,175.76x = 2,466,307,748.61
  5. Step 5: Solve for x
    x = 2,466,307,748.61/70,175.76
  6. Step 6: Final answer
    x = 35,144.72

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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.