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Finding the Fourth Proportional to 52,347.60, 72,246.84 and 35,586

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Solution

The fourth proportional to 52,347.60, 72,246.84 and 35,586 is: 49,113.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,347.60 : 72,246.84 = 35,586 : x
  2. Step 2: Convert to fraction form
    52,347.60/72,246.84 = 35,586/x
  3. Step 3: Cross multiply
    52,347.60x = 72,246.84 × 35,586
  4. Step 4: Simplify right side
    52,347.60x = 2,570,976,048.24
  5. Step 5: Solve for x
    x = 2,570,976,048.24/52,347.60
  6. Step 6: Final answer
    x = 49,113.54

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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.