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Finding the Fourth Proportional to 32,699.65, 49,014.37 and 12,950.77

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Solution

The fourth proportional to 32,699.65, 49,014.37 and 12,950.77 is: 19,412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,699.65 : 49,014.37 = 12,950.77 : x
  2. Step 2: Convert to fraction form
    32,699.65/49,014.37 = 12,950.77/x
  3. Step 3: Cross multiply
    32,699.65x = 49,014.37 × 12,950.77
  4. Step 4: Simplify right side
    32,699.65x = 634,773,832.56
  5. Step 5: Solve for x
    x = 634,773,832.56/32,699.65
  6. Step 6: Final answer
    x = 19,412.25

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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.