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Finding the Fourth Proportional to 92,106, 127,106.28 and 52,362

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Solution

The fourth proportional to 92,106, 127,106.28 and 52,362 is: 72,259.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,106 : 127,106.28 = 52,362 : x
  2. Step 2: Convert to fraction form
    92,106/127,106.28 = 52,362/x
  3. Step 3: Cross multiply
    92,106x = 127,106.28 × 52,362
  4. Step 4: Simplify right side
    92,106x = 6,655,539,033.36
  5. Step 5: Solve for x
    x = 6,655,539,033.36/92,106
  6. Step 6: Final answer
    x = 72,259.56

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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.