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Finding the Fourth Proportional to 52,394.40, 78,437.16 and 34,592.40

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Solution

The fourth proportional to 52,394.40, 78,437.16 and 34,592.40 is: 51,786.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,394.40 : 78,437.16 = 34,592.40 : x
  2. Step 2: Convert to fraction form
    52,394.40/78,437.16 = 34,592.40/x
  3. Step 3: Cross multiply
    52,394.40x = 78,437.16 × 34,592.40
  4. Step 4: Simplify right side
    52,394.40x = 2,713,329,613.58
  5. Step 5: Solve for x
    x = 2,713,329,613.58/52,394.40
  6. Step 6: Final answer
    x = 51,786.63

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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.