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Finding the Fourth Proportional to 65,394.42, 98,077.01 and 30,329.52

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Solution

The fourth proportional to 65,394.42, 98,077.01 and 30,329.52 is: 45,487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,394.42 : 98,077.01 = 30,329.52 : x
  2. Step 2: Convert to fraction form
    65,394.42/98,077.01 = 30,329.52/x
  3. Step 3: Cross multiply
    65,394.42x = 98,077.01 × 30,329.52
  4. Step 4: Simplify right side
    65,394.42x = 2,974,628,636.34
  5. Step 5: Solve for x
    x = 2,974,628,636.34/65,394.42
  6. Step 6: Final answer
    x = 45,487.50

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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.