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Finding the Fourth Proportional to 52,466.42, 78,707.38 and 18,729.82

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Solution

The fourth proportional to 52,466.42, 78,707.38 and 18,729.82 is: 28,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,466.42 : 78,707.38 = 18,729.82 : x
  2. Step 2: Convert to fraction form
    52,466.42/78,707.38 = 18,729.82/x
  3. Step 3: Cross multiply
    52,466.42x = 78,707.38 × 18,729.82
  4. Step 4: Simplify right side
    52,466.42x = 1,474,175,060.07
  5. Step 5: Solve for x
    x = 1,474,175,060.07/52,466.42
  6. Step 6: Final answer
    x = 28,097.50

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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.