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Finding the Fourth Proportional to 64,114.80, 95,999.40 and 46,489.20

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Solution

The fourth proportional to 64,114.80, 95,999.40 and 46,489.20 is: 69,608.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,114.80 : 95,999.40 = 46,489.20 : x
  2. Step 2: Convert to fraction form
    64,114.80/95,999.40 = 46,489.20/x
  3. Step 3: Cross multiply
    64,114.80x = 95,999.40 × 46,489.20
  4. Step 4: Simplify right side
    64,114.80x = 4,462,935,306.48
  5. Step 5: Solve for x
    x = 4,462,935,306.48/64,114.80
  6. Step 6: Final answer
    x = 69,608.50

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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.