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Finding the Fourth Proportional to 52,601.84, 78,855.86 and 19,314.28

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Solution

The fourth proportional to 52,601.84, 78,855.86 and 19,314.28 is: 28,954.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,601.84 : 78,855.86 = 19,314.28 : x
  2. Step 2: Convert to fraction form
    52,601.84/78,855.86 = 19,314.28/x
  3. Step 3: Cross multiply
    52,601.84x = 78,855.86 × 19,314.28
  4. Step 4: Simplify right side
    52,601.84x = 1,523,044,159.68
  5. Step 5: Solve for x
    x = 1,523,044,159.68/52,601.84
  6. Step 6: Final answer
    x = 28,954.20

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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.