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Finding the Fourth Proportional to 32,996.86, 49,495.30 and 8,036.71

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Solution

The fourth proportional to 32,996.86, 49,495.30 and 8,036.71 is: 12,055.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,996.86 : 49,495.30 = 8,036.71 : x
  2. Step 2: Convert to fraction form
    32,996.86/49,495.30 = 8,036.71/x
  3. Step 3: Cross multiply
    32,996.86x = 49,495.30 × 8,036.71
  4. Step 4: Simplify right side
    32,996.86x = 397,779,228.63
  5. Step 5: Solve for x
    x = 397,779,228.63/32,996.86
  6. Step 6: Final answer
    x = 12,055.06

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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.