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Finding the Fourth Proportional to 48,347.28, 72,526.08 and 20,276.22

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Solution

The fourth proportional to 48,347.28, 72,526.08 and 20,276.22 is: 30,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,347.28 : 72,526.08 = 20,276.22 : x
  2. Step 2: Convert to fraction form
    48,347.28/72,526.08 = 20,276.22/x
  3. Step 3: Cross multiply
    48,347.28x = 72,526.08 × 20,276.22
  4. Step 4: Simplify right side
    48,347.28x = 1,470,555,101.83
  5. Step 5: Solve for x
    x = 1,470,555,101.83/48,347.28
  6. Step 6: Final answer
    x = 30,416.50

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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.