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Finding the Fourth Proportional to 65,537.64, 98,338.50 and 30,501.72

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Solution

The fourth proportional to 65,537.64, 98,338.50 and 30,501.72 is: 45,767.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,537.64 : 98,338.50 = 30,501.72 : x
  2. Step 2: Convert to fraction form
    65,537.64/98,338.50 = 30,501.72/x
  3. Step 3: Cross multiply
    65,537.64x = 98,338.50 × 30,501.72
  4. Step 4: Simplify right side
    65,537.64x = 2,999,493,392.22
  5. Step 5: Solve for x
    x = 2,999,493,392.22/65,537.64
  6. Step 6: Final answer
    x = 45,767.49

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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.