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Finding the Fourth Proportional to 105,666.96, 158,492.36 and 30,787.68

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Solution

The fourth proportional to 105,666.96, 158,492.36 and 30,787.68 is: 46,179.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,666.96 : 158,492.36 = 30,787.68 : x
  2. Step 2: Convert to fraction form
    105,666.96/158,492.36 = 30,787.68/x
  3. Step 3: Cross multiply
    105,666.96x = 158,492.36 × 30,787.68
  4. Step 4: Simplify right side
    105,666.96x = 4,879,612,062.12
  5. Step 5: Solve for x
    x = 4,879,612,062.12/105,666.96
  6. Step 6: Final answer
    x = 46,179.17

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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.