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Finding the Fourth Proportional to 52,392.78, 78,587.73 and 12,949.02

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Solution

The fourth proportional to 52,392.78, 78,587.73 and 12,949.02 is: 19,423.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,392.78 : 78,587.73 = 12,949.02 : x
  2. Step 2: Convert to fraction form
    52,392.78/78,587.73 = 12,949.02/x
  3. Step 3: Cross multiply
    52,392.78x = 78,587.73 × 12,949.02
  4. Step 4: Simplify right side
    52,392.78x = 1,017,634,087.52
  5. Step 5: Solve for x
    x = 1,017,634,087.52/52,392.78
  6. Step 6: Final answer
    x = 19,423.17

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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.