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Finding the Fourth Proportional to 102,477, 153,741.48 and 28,605

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Solution

The fourth proportional to 102,477, 153,741.48 and 28,605 is: 42,914.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,477 : 153,741.48 = 28,605 : x
  2. Step 2: Convert to fraction form
    102,477/153,741.48 = 28,605/x
  3. Step 3: Cross multiply
    102,477x = 153,741.48 × 28,605
  4. Step 4: Simplify right side
    102,477x = 4,397,775,035.40
  5. Step 5: Solve for x
    x = 4,397,775,035.40/102,477
  6. Step 6: Final answer
    x = 42,914.75

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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.