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Finding the Fourth Proportional to 29,897.80, 44,852.10 and 12,369.40

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Solution

The fourth proportional to 29,897.80, 44,852.10 and 12,369.40 is: 18,556.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,897.80 : 44,852.10 = 12,369.40 : x
  2. Step 2: Convert to fraction form
    29,897.80/44,852.10 = 12,369.40/x
  3. Step 3: Cross multiply
    29,897.80x = 44,852.10 × 12,369.40
  4. Step 4: Simplify right side
    29,897.80x = 554,793,565.74
  5. Step 5: Solve for x
    x = 554,793,565.74/29,897.80
  6. Step 6: Final answer
    x = 18,556.33

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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.