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Finding the Fourth Proportional to 117,877.84, 176,827.24 and 33,636.40

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Solution

The fourth proportional to 117,877.84, 176,827.24 and 33,636.40 is: 50,457.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,877.84 : 176,827.24 = 33,636.40 : x
  2. Step 2: Convert to fraction form
    117,877.84/176,827.24 = 33,636.40/x
  3. Step 3: Cross multiply
    117,877.84x = 176,827.24 × 33,636.40
  4. Step 4: Simplify right side
    117,877.84x = 5,947,831,775.54
  5. Step 5: Solve for x
    x = 5,947,831,775.54/117,877.84
  6. Step 6: Final answer
    x = 50,457.59

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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.