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Finding the Fourth Proportional to 39,054, 58,578.84 and 10,975.98

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Solution

The fourth proportional to 39,054, 58,578.84 and 10,975.98 is: 16,463.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,054 : 58,578.84 = 10,975.98 : x
  2. Step 2: Convert to fraction form
    39,054/58,578.84 = 10,975.98/x
  3. Step 3: Cross multiply
    39,054x = 58,578.84 × 10,975.98
  4. Step 4: Simplify right side
    39,054x = 642,960,176.26
  5. Step 5: Solve for x
    x = 642,960,176.26/39,054
  6. Step 6: Final answer
    x = 16,463.36

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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.