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Finding the Fourth Proportional to 32,333.15, 48,214.18 and 28,400.50

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Solution

The fourth proportional to 32,333.15, 48,214.18 and 28,400.50 is: 42,349.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,333.15 : 48,214.18 = 28,400.50 : x
  2. Step 2: Convert to fraction form
    32,333.15/48,214.18 = 28,400.50/x
  3. Step 3: Cross multiply
    32,333.15x = 48,214.18 × 28,400.50
  4. Step 4: Simplify right side
    32,333.15x = 1,369,306,819.09
  5. Step 5: Solve for x
    x = 1,369,306,819.09/32,333.15
  6. Step 6: Final answer
    x = 42,349.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.