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Finding the Fourth Proportional to 86,282, 129,422.84 and 49,320.08

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Solution

The fourth proportional to 86,282, 129,422.84 and 49,320.08 is: 73,980.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,282 : 129,422.84 = 49,320.08 : x
  2. Step 2: Convert to fraction form
    86,282/129,422.84 = 49,320.08/x
  3. Step 3: Cross multiply
    86,282x = 129,422.84 × 49,320.08
  4. Step 4: Simplify right side
    86,282x = 6,383,144,822.63
  5. Step 5: Solve for x
    x = 6,383,144,822.63/86,282
  6. Step 6: Final answer
    x = 73,980.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.