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Finding the Fourth Proportional to 32,029.12, 48,017.71 and 13,323.15

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Solution

The fourth proportional to 32,029.12, 48,017.71 and 13,323.15 is: 19,973.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,029.12 : 48,017.71 = 13,323.15 : x
  2. Step 2: Convert to fraction form
    32,029.12/48,017.71 = 13,323.15/x
  3. Step 3: Cross multiply
    32,029.12x = 48,017.71 × 13,323.15
  4. Step 4: Simplify right side
    32,029.12x = 639,747,152.99
  5. Step 5: Solve for x
    x = 639,747,152.99/32,029.12
  6. Step 6: Final answer
    x = 19,973.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.