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Finding the Fourth Proportional to 65,482.36, 98,180.51 and 31,739.45

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Solution

The fourth proportional to 65,482.36, 98,180.51 and 31,739.45 is: 47,588.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,482.36 : 98,180.51 = 31,739.45 : x
  2. Step 2: Convert to fraction form
    65,482.36/98,180.51 = 31,739.45/x
  3. Step 3: Cross multiply
    65,482.36x = 98,180.51 × 31,739.45
  4. Step 4: Simplify right side
    65,482.36x = 3,116,194,738.52
  5. Step 5: Solve for x
    x = 3,116,194,738.52/65,482.36
  6. Step 6: Final answer
    x = 47,588.31

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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.