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Finding the Fourth Proportional to 86,827.60, 130,241.40 and 31,416.40

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Solution

The fourth proportional to 86,827.60, 130,241.40 and 31,416.40 is: 47,124.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,827.60 : 130,241.40 = 31,416.40 : x
  2. Step 2: Convert to fraction form
    86,827.60/130,241.40 = 31,416.40/x
  3. Step 3: Cross multiply
    86,827.60x = 130,241.40 × 31,416.40
  4. Step 4: Simplify right side
    86,827.60x = 4,091,715,918.96
  5. Step 5: Solve for x
    x = 4,091,715,918.96/86,827.60
  6. Step 6: Final answer
    x = 47,124.60

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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.