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Finding the Fourth Proportional to 48,468.64, 72,724.20 and 23,527.84

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Solution

The fourth proportional to 48,468.64, 72,724.20 and 23,527.84 is: 35,302.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,468.64 : 72,724.20 = 23,527.84 : x
  2. Step 2: Convert to fraction form
    48,468.64/72,724.20 = 23,527.84/x
  3. Step 3: Cross multiply
    48,468.64x = 72,724.20 × 23,527.84
  4. Step 4: Simplify right side
    48,468.64x = 1,711,043,341.73
  5. Step 5: Solve for x
    x = 1,711,043,341.73/48,468.64
  6. Step 6: Final answer
    x = 35,302.07

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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.