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Finding the Fourth Proportional to 61,809.10, 92,713.65 and 30,705.10

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Solution

The fourth proportional to 61,809.10, 92,713.65 and 30,705.10 is: 46,057.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,809.10 : 92,713.65 = 30,705.10 : x
  2. Step 2: Convert to fraction form
    61,809.10/92,713.65 = 30,705.10/x
  3. Step 3: Cross multiply
    61,809.10x = 92,713.65 × 30,705.10
  4. Step 4: Simplify right side
    61,809.10x = 2,846,781,894.62
  5. Step 5: Solve for x
    x = 2,846,781,894.62/61,809.10
  6. Step 6: Final answer
    x = 46,057.65

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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.