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Finding the Fourth Proportional to 86,810.60, 130,215.90 and 31,393.64

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Solution

The fourth proportional to 86,810.60, 130,215.90 and 31,393.64 is: 47,090.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,810.60 : 130,215.90 = 31,393.64 : x
  2. Step 2: Convert to fraction form
    86,810.60/130,215.90 = 31,393.64/x
  3. Step 3: Cross multiply
    86,810.60x = 130,215.90 × 31,393.64
  4. Step 4: Simplify right side
    86,810.60x = 4,087,951,086.88
  5. Step 5: Solve for x
    x = 4,087,951,086.88/86,810.60
  6. Step 6: Final answer
    x = 47,090.46

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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.