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Finding the Fourth Proportional to 52,337.66, 78,506.78 and 12,894.48

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Solution

The fourth proportional to 52,337.66, 78,506.78 and 12,894.48 is: 19,341.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,337.66 : 78,506.78 = 12,894.48 : x
  2. Step 2: Convert to fraction form
    52,337.66/78,506.78 = 12,894.48/x
  3. Step 3: Cross multiply
    52,337.66x = 78,506.78 × 12,894.48
  4. Step 4: Simplify right side
    52,337.66x = 1,012,304,040.10
  5. Step 5: Solve for x
    x = 1,012,304,040.10/52,337.66
  6. Step 6: Final answer
    x = 19,341.79

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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.