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Finding the Fourth Proportional to 70,583.20, 97,408.32 and 38,751.84

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Solution

The fourth proportional to 70,583.20, 97,408.32 and 38,751.84 is: 53,479.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,583.20 : 97,408.32 = 38,751.84 : x
  2. Step 2: Convert to fraction form
    70,583.20/97,408.32 = 38,751.84/x
  3. Step 3: Cross multiply
    70,583.20x = 97,408.32 × 38,751.84
  4. Step 4: Simplify right side
    70,583.20x = 3,774,751,631.31
  5. Step 5: Solve for x
    x = 3,774,751,631.31/70,583.20
  6. Step 6: Final answer
    x = 53,479.46

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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.