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Finding the Fourth Proportional to 48,477, 72,715.38 and 13,416.54

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Solution

The fourth proportional to 48,477, 72,715.38 and 13,416.54 is: 20,124.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,477 : 72,715.38 = 13,416.54 : x
  2. Step 2: Convert to fraction form
    48,477/72,715.38 = 13,416.54/x
  3. Step 3: Cross multiply
    48,477x = 72,715.38 × 13,416.54
  4. Step 4: Simplify right side
    48,477x = 975,588,804.39
  5. Step 5: Solve for x
    x = 975,588,804.39/48,477
  6. Step 6: Final answer
    x = 20,124.78

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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.