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Finding the Fourth Proportional to 96,835.50, 145,258.72 and 34,506

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Solution

The fourth proportional to 96,835.50, 145,258.72 and 34,506 is: 51,760.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,835.50 : 145,258.72 = 34,506 : x
  2. Step 2: Convert to fraction form
    96,835.50/145,258.72 = 34,506/x
  3. Step 3: Cross multiply
    96,835.50x = 145,258.72 × 34,506
  4. Step 4: Simplify right side
    96,835.50x = 5,012,297,306.06
  5. Step 5: Solve for x
    x = 5,012,297,306.06/96,835.50
  6. Step 6: Final answer
    x = 51,760.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.