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Finding the Fourth Proportional to 66,973.84, 100,460.75 and 52,193.82

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Solution

The fourth proportional to 66,973.84, 100,460.75 and 52,193.82 is: 78,290.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,973.84 : 100,460.75 = 52,193.82 : x
  2. Step 2: Convert to fraction form
    66,973.84/100,460.75 = 52,193.82/x
  3. Step 3: Cross multiply
    66,973.84x = 100,460.75 × 52,193.82
  4. Step 4: Simplify right side
    66,973.84x = 5,243,430,302.57
  5. Step 5: Solve for x
    x = 5,243,430,302.57/66,973.84
  6. Step 6: Final answer
    x = 78,290.72

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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.