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Finding the Fourth Proportional to 29,897.20, 44,843.10 and 10,176.40

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Solution

The fourth proportional to 29,897.20, 44,843.10 and 10,176.40 is: 15,263.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,897.20 : 44,843.10 = 10,176.40 : x
  2. Step 2: Convert to fraction form
    29,897.20/44,843.10 = 10,176.40/x
  3. Step 3: Cross multiply
    29,897.20x = 44,843.10 × 10,176.40
  4. Step 4: Simplify right side
    29,897.20x = 456,341,322.84
  5. Step 5: Solve for x
    x = 456,341,322.84/29,897.20
  6. Step 6: Final answer
    x = 15,263.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.