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Finding the Fourth Proportional to 32,259.29, 48,369.27 and 14,486.50

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Solution

The fourth proportional to 32,259.29, 48,369.27 and 14,486.50 is: 21,720.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,259.29 : 48,369.27 = 14,486.50 : x
  2. Step 2: Convert to fraction form
    32,259.29/48,369.27 = 14,486.50/x
  3. Step 3: Cross multiply
    32,259.29x = 48,369.27 × 14,486.50
  4. Step 4: Simplify right side
    32,259.29x = 700,701,429.86
  5. Step 5: Solve for x
    x = 700,701,429.86/32,259.29
  6. Step 6: Final answer
    x = 21,720.92

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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.