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Finding the Fourth Proportional to 32,671.96, 49,024.14 and 12,950.08

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Solution

The fourth proportional to 32,671.96, 49,024.14 and 12,950.08 is: 19,431.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,671.96 : 49,024.14 = 12,950.08 : x
  2. Step 2: Convert to fraction form
    32,671.96/49,024.14 = 12,950.08/x
  3. Step 3: Cross multiply
    32,671.96x = 49,024.14 × 12,950.08
  4. Step 4: Simplify right side
    32,671.96x = 634,866,534.93
  5. Step 5: Solve for x
    x = 634,866,534.93/32,671.96
  6. Step 6: Final answer
    x = 19,431.54

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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.