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Finding the Fourth Proportional to 66,467.80, 99,458.70 and 48,971.80

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Solution

The fourth proportional to 66,467.80, 99,458.70 and 48,971.80 is: 73,278.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,467.80 : 99,458.70 = 48,971.80 : x
  2. Step 2: Convert to fraction form
    66,467.80/99,458.70 = 48,971.80/x
  3. Step 3: Cross multiply
    66,467.80x = 99,458.70 × 48,971.80
  4. Step 4: Simplify right side
    66,467.80x = 4,870,671,564.66
  5. Step 5: Solve for x
    x = 4,870,671,564.66/66,467.80
  6. Step 6: Final answer
    x = 73,278.66

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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.