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Finding the Fourth Proportional to 30,677.18, 46,016.80 and 8,488.70

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Solution

The fourth proportional to 30,677.18, 46,016.80 and 8,488.70 is: 12,733.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,677.18 : 46,016.80 = 8,488.70 : x
  2. Step 2: Convert to fraction form
    30,677.18/46,016.80 = 8,488.70/x
  3. Step 3: Cross multiply
    30,677.18x = 46,016.80 × 8,488.70
  4. Step 4: Simplify right side
    30,677.18x = 390,622,810.16
  5. Step 5: Solve for x
    x = 390,622,810.16/30,677.18
  6. Step 6: Final answer
    x = 12,733.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.