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Finding the Fourth Proportional to 30,866.08, 46,301.12 and 12,398.08

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Solution

The fourth proportional to 30,866.08, 46,301.12 and 12,398.08 is: 18,597.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,866.08 : 46,301.12 = 12,398.08 : x
  2. Step 2: Convert to fraction form
    30,866.08/46,301.12 = 12,398.08/x
  3. Step 3: Cross multiply
    30,866.08x = 46,301.12 × 12,398.08
  4. Step 4: Simplify right side
    30,866.08x = 574,044,989.85
  5. Step 5: Solve for x
    x = 574,044,989.85/30,866.08
  6. Step 6: Final answer
    x = 18,597.92

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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.