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Finding the Fourth Proportional to 48,097.50, 72,142.82 and 14,814.09

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Solution

The fourth proportional to 48,097.50, 72,142.82 and 14,814.09 is: 22,220.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,097.50 : 72,142.82 = 14,814.09 : x
  2. Step 2: Convert to fraction form
    48,097.50/72,142.82 = 14,814.09/x
  3. Step 3: Cross multiply
    48,097.50x = 72,142.82 × 14,814.09
  4. Step 4: Simplify right side
    48,097.50x = 1,068,730,154.26
  5. Step 5: Solve for x
    x = 1,068,730,154.26/48,097.50
  6. Step 6: Final answer
    x = 22,220.08

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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.