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Finding the Fourth Proportional to 30,897.01, 46,348.92 and 9,829.65

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Solution

The fourth proportional to 30,897.01, 46,348.92 and 9,829.65 is: 14,745.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,897.01 : 46,348.92 = 9,829.65 : x
  2. Step 2: Convert to fraction form
    30,897.01/46,348.92 = 9,829.65/x
  3. Step 3: Cross multiply
    30,897.01x = 46,348.92 × 9,829.65
  4. Step 4: Simplify right side
    30,897.01x = 455,593,849.11
  5. Step 5: Solve for x
    x = 455,593,849.11/30,897.01
  6. Step 6: Final answer
    x = 14,745.57

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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.