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Finding the Fourth Proportional to 104,054.31, 156,088.31 and 36,578.16

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Solution

The fourth proportional to 104,054.31, 156,088.31 and 36,578.16 is: 54,869.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,054.31 : 156,088.31 = 36,578.16 : x
  2. Step 2: Convert to fraction form
    104,054.31/156,088.31 = 36,578.16/x
  3. Step 3: Cross multiply
    104,054.31x = 156,088.31 × 36,578.16
  4. Step 4: Simplify right side
    104,054.31x = 5,709,422,994.42
  5. Step 5: Solve for x
    x = 5,709,422,994.42/104,054.31
  6. Step 6: Final answer
    x = 54,869.64

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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.