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Finding the Fourth Proportional to 30,676.52, 46,005.88 and 11,952.38

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Solution

The fourth proportional to 30,676.52, 46,005.88 and 11,952.38 is: 17,925.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,676.52 : 46,005.88 = 11,952.38 : x
  2. Step 2: Convert to fraction form
    30,676.52/46,005.88 = 11,952.38/x
  3. Step 3: Cross multiply
    30,676.52x = 46,005.88 × 11,952.38
  4. Step 4: Simplify right side
    30,676.52x = 549,879,644.98
  5. Step 5: Solve for x
    x = 549,879,644.98/30,676.52
  6. Step 6: Final answer
    x = 17,925.10

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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.