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Finding the Fourth Proportional to 48,051.60, 72,088.64 and 16,462

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Solution

The fourth proportional to 48,051.60, 72,088.64 and 16,462 is: 24,696.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,051.60 : 72,088.64 = 16,462 : x
  2. Step 2: Convert to fraction form
    48,051.60/72,088.64 = 16,462/x
  3. Step 3: Cross multiply
    48,051.60x = 72,088.64 × 16,462
  4. Step 4: Simplify right side
    48,051.60x = 1,186,723,191.68
  5. Step 5: Solve for x
    x = 1,186,723,191.68/48,051.60
  6. Step 6: Final answer
    x = 24,696.85

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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.