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Finding the Fourth Proportional to 117,870.48, 176,792.76 and 34,770.96

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Solution

The fourth proportional to 117,870.48, 176,792.76 and 34,770.96 is: 52,152.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,870.48 : 176,792.76 = 34,770.96 : x
  2. Step 2: Convert to fraction form
    117,870.48/176,792.76 = 34,770.96/x
  3. Step 3: Cross multiply
    117,870.48x = 176,792.76 × 34,770.96
  4. Step 4: Simplify right side
    117,870.48x = 6,147,253,986.25
  5. Step 5: Solve for x
    x = 6,147,253,986.25/117,870.48
  6. Step 6: Final answer
    x = 52,152.62

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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.