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Finding the Fourth Proportional to 29,897.60, 44,788.02 and 18,181.76

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Solution

The fourth proportional to 29,897.60, 44,788.02 and 18,181.76 is: 27,237.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,897.60 : 44,788.02 = 18,181.76 : x
  2. Step 2: Convert to fraction form
    29,897.60/44,788.02 = 18,181.76/x
  3. Step 3: Cross multiply
    29,897.60x = 44,788.02 × 18,181.76
  4. Step 4: Simplify right side
    29,897.60x = 814,325,030.52
  5. Step 5: Solve for x
    x = 814,325,030.52/29,897.60
  6. Step 6: Final answer
    x = 27,237.14

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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.