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Finding the Fourth Proportional to 117,792, 176,688 and 34,684.80

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Solution

The fourth proportional to 117,792, 176,688 and 34,684.80 is: 52,027.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,792 : 176,688 = 34,684.80 : x
  2. Step 2: Convert to fraction form
    117,792/176,688 = 34,684.80/x
  3. Step 3: Cross multiply
    117,792x = 176,688 × 34,684.80
  4. Step 4: Simplify right side
    117,792x = 6,128,387,942.40
  5. Step 5: Solve for x
    x = 6,128,387,942.40/117,792
  6. Step 6: Final answer
    x = 52,027.20

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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.