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Finding the Fourth Proportional to 52,596, 78,932.88 and 24,894

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Solution

The fourth proportional to 52,596, 78,932.88 and 24,894 is: 37,359.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,596 : 78,932.88 = 24,894 : x
  2. Step 2: Convert to fraction form
    52,596/78,932.88 = 24,894/x
  3. Step 3: Cross multiply
    52,596x = 78,932.88 × 24,894
  4. Step 4: Simplify right side
    52,596x = 1,964,955,114.72
  5. Step 5: Solve for x
    x = 1,964,955,114.72/52,596
  6. Step 6: Final answer
    x = 37,359.40

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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.