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Finding the Fourth Proportional to 48,114.11, 72,162.65 and 13,056.50

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Solution

The fourth proportional to 48,114.11, 72,162.65 and 13,056.50 is: 19,582.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,114.11 : 72,162.65 = 13,056.50 : x
  2. Step 2: Convert to fraction form
    48,114.11/72,162.65 = 13,056.50/x
  3. Step 3: Cross multiply
    48,114.11x = 72,162.65 × 13,056.50
  4. Step 4: Simplify right side
    48,114.11x = 942,191,639.73
  5. Step 5: Solve for x
    x = 942,191,639.73/48,114.11
  6. Step 6: Final answer
    x = 19,582.44

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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.