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Finding the Fourth Proportional to 98,182.84, 147,327.05 and 39,019

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Solution

The fourth proportional to 98,182.84, 147,327.05 and 39,019 is: 58,549.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,182.84 : 147,327.05 = 39,019 : x
  2. Step 2: Convert to fraction form
    98,182.84/147,327.05 = 39,019/x
  3. Step 3: Cross multiply
    98,182.84x = 147,327.05 × 39,019
  4. Step 4: Simplify right side
    98,182.84x = 5,748,554,163.95
  5. Step 5: Solve for x
    x = 5,748,554,163.95/98,182.84
  6. Step 6: Final answer
    x = 58,549.48

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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.