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Finding the Fourth Proportional to 86,817.64, 130,051.74 and 65,793.64

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Solution

The fourth proportional to 86,817.64, 130,051.74 and 65,793.64 is: 98,558.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,817.64 : 130,051.74 = 65,793.64 : x
  2. Step 2: Convert to fraction form
    86,817.64/130,051.74 = 65,793.64/x
  3. Step 3: Cross multiply
    86,817.64x = 130,051.74 × 65,793.64
  4. Step 4: Simplify right side
    86,817.64x = 8,556,577,362.93
  5. Step 5: Solve for x
    x = 8,556,577,362.93/86,817.64
  6. Step 6: Final answer
    x = 98,558.05

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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.