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Finding the Fourth Proportional to 32,018.35, 48,023.74 and 8,646.61

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Solution

The fourth proportional to 32,018.35, 48,023.74 and 8,646.61 is: 12,968.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,018.35 : 48,023.74 = 8,646.61 : x
  2. Step 2: Convert to fraction form
    32,018.35/48,023.74 = 8,646.61/x
  3. Step 3: Cross multiply
    32,018.35x = 48,023.74 × 8,646.61
  4. Step 4: Simplify right side
    32,018.35x = 415,242,550.52
  5. Step 5: Solve for x
    x = 415,242,550.52/32,018.35
  6. Step 6: Final answer
    x = 12,968.89

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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.