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Finding the Fourth Proportional to 32,191.02, 48,281.00 and 14,656.68

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Solution

The fourth proportional to 32,191.02, 48,281.00 and 14,656.68 is: 21,982.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,191.02 : 48,281.00 = 14,656.68 : x
  2. Step 2: Convert to fraction form
    32,191.02/48,281.00 = 14,656.68/x
  3. Step 3: Cross multiply
    32,191.02x = 48,281.00 × 14,656.68
  4. Step 4: Simplify right side
    32,191.02x = 707,639,093.80
  5. Step 5: Solve for x
    x = 707,639,093.80/32,191.02
  6. Step 6: Final answer
    x = 21,982.50

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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.