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Finding the Fourth Proportional to 117,702.48, 176,564.60 and 33,464.40

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Solution

The fourth proportional to 117,702.48, 176,564.60 and 33,464.40 is: 50,199.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,702.48 : 176,564.60 = 33,464.40 : x
  2. Step 2: Convert to fraction form
    117,702.48/176,564.60 = 33,464.40/x
  3. Step 3: Cross multiply
    117,702.48x = 176,564.60 × 33,464.40
  4. Step 4: Simplify right side
    117,702.48x = 5,908,628,400.24
  5. Step 5: Solve for x
    x = 5,908,628,400.24/117,702.48
  6. Step 6: Final answer
    x = 50,199.69

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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.