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Finding the Fourth Proportional to 52,474.78, 78,701.10 and 19,210.42

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Solution

The fourth proportional to 52,474.78, 78,701.10 and 19,210.42 is: 28,811.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,474.78 : 78,701.10 = 19,210.42 : x
  2. Step 2: Convert to fraction form
    52,474.78/78,701.10 = 19,210.42/x
  3. Step 3: Cross multiply
    52,474.78x = 78,701.10 × 19,210.42
  4. Step 4: Simplify right side
    52,474.78x = 1,511,881,185.46
  5. Step 5: Solve for x
    x = 1,511,881,185.46/52,474.78
  6. Step 6: Final answer
    x = 28,811.58

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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.