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Finding the Fourth Proportional to 56,677.80, 85,016.70 and 46,828.20

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Solution

The fourth proportional to 56,677.80, 85,016.70 and 46,828.20 is: 70,242.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,677.80 : 85,016.70 = 46,828.20 : x
  2. Step 2: Convert to fraction form
    56,677.80/85,016.70 = 46,828.20/x
  3. Step 3: Cross multiply
    56,677.80x = 85,016.70 × 46,828.20
  4. Step 4: Simplify right side
    56,677.80x = 3,981,179,030.94
  5. Step 5: Solve for x
    x = 3,981,179,030.94/56,677.80
  6. Step 6: Final answer
    x = 70,242.30

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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.