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Finding the Fourth Proportional to 52,363.28, 72,237.84 and 35,362

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Solution

The fourth proportional to 52,363.28, 72,237.84 and 35,362 is: 48,783.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,363.28 : 72,237.84 = 35,362 : x
  2. Step 2: Convert to fraction form
    52,363.28/72,237.84 = 35,362/x
  3. Step 3: Cross multiply
    52,363.28x = 72,237.84 × 35,362
  4. Step 4: Simplify right side
    52,363.28x = 2,554,474,498.08
  5. Step 5: Solve for x
    x = 2,554,474,498.08/52,363.28
  6. Step 6: Final answer
    x = 48,783.70

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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.