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Finding the Fourth Proportional to 92,640, 127,851.84 and 52,896

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Solution

The fourth proportional to 92,640, 127,851.84 and 52,896 is: 73,001.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,640 : 127,851.84 = 52,896 : x
  2. Step 2: Convert to fraction form
    92,640/127,851.84 = 52,896/x
  3. Step 3: Cross multiply
    92,640x = 127,851.84 × 52,896
  4. Step 4: Simplify right side
    92,640x = 6,762,850,928.64
  5. Step 5: Solve for x
    x = 6,762,850,928.64/92,640
  6. Step 6: Final answer
    x = 73,001.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.