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Finding the Fourth Proportional to 56,202, 84,307.86 and 14,649

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Solution

The fourth proportional to 56,202, 84,307.86 and 14,649 is: 21,974.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,202 : 84,307.86 = 14,649 : x
  2. Step 2: Convert to fraction form
    56,202/84,307.86 = 14,649/x
  3. Step 3: Cross multiply
    56,202x = 84,307.86 × 14,649
  4. Step 4: Simplify right side
    56,202x = 1,235,025,841.14
  5. Step 5: Solve for x
    x = 1,235,025,841.14/56,202
  6. Step 6: Final answer
    x = 21,974.77

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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.