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Finding the Fourth Proportional to 32,051.84, 48,069.12 and 14,504

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Solution

The fourth proportional to 32,051.84, 48,069.12 and 14,504 is: 21,752.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,051.84 : 48,069.12 = 14,504 : x
  2. Step 2: Convert to fraction form
    32,051.84/48,069.12 = 14,504/x
  3. Step 3: Cross multiply
    32,051.84x = 48,069.12 × 14,504
  4. Step 4: Simplify right side
    32,051.84x = 697,194,516.48
  5. Step 5: Solve for x
    x = 697,194,516.48/32,051.84
  6. Step 6: Final answer
    x = 21,752.09

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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.