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Finding the Fourth Proportional to 92,602.74, 127,784.20 and 52,320

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Solution

The fourth proportional to 92,602.74, 127,784.20 and 52,320 is: 72,197.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,602.74 : 127,784.20 = 52,320 : x
  2. Step 2: Convert to fraction form
    92,602.74/127,784.20 = 52,320/x
  3. Step 3: Cross multiply
    92,602.74x = 127,784.20 × 52,320
  4. Step 4: Simplify right side
    92,602.74x = 6,685,669,344
  5. Step 5: Solve for x
    x = 6,685,669,344/92,602.74
  6. Step 6: Final answer
    x = 72,197.32

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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.