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Finding the Fourth Proportional to 32,591.58, 48,870.09 and 14,113.50

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Solution

The fourth proportional to 32,591.58, 48,870.09 and 14,113.50 is: 21,162.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,591.58 : 48,870.09 = 14,113.50 : x
  2. Step 2: Convert to fraction form
    32,591.58/48,870.09 = 14,113.50/x
  3. Step 3: Cross multiply
    32,591.58x = 48,870.09 × 14,113.50
  4. Step 4: Simplify right side
    32,591.58x = 689,728,015.22
  5. Step 5: Solve for x
    x = 689,728,015.22/32,591.58
  6. Step 6: Final answer
    x = 21,162.77

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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.