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Finding the Fourth Proportional to 65,095.56, 97,608.60 and 30,865.32

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Solution

The fourth proportional to 65,095.56, 97,608.60 and 30,865.32 is: 46,281.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,095.56 : 97,608.60 = 30,865.32 : x
  2. Step 2: Convert to fraction form
    65,095.56/97,608.60 = 30,865.32/x
  3. Step 3: Cross multiply
    65,095.56x = 97,608.60 × 30,865.32
  4. Step 4: Simplify right side
    65,095.56x = 3,012,720,673.75
  5. Step 5: Solve for x
    x = 3,012,720,673.75/65,095.56
  6. Step 6: Final answer
    x = 46,281.51

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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.