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Finding the Fourth Proportional to 32,011.34, 48,029.61 and 16,207.70

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Solution

The fourth proportional to 32,011.34, 48,029.61 and 16,207.70 is: 24,317.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,011.34 : 48,029.61 = 16,207.70 : x
  2. Step 2: Convert to fraction form
    32,011.34/48,029.61 = 16,207.70/x
  3. Step 3: Cross multiply
    32,011.34x = 48,029.61 × 16,207.70
  4. Step 4: Simplify right side
    32,011.34x = 778,449,510.00
  5. Step 5: Solve for x
    x = 778,449,510.00/32,011.34
  6. Step 6: Final answer
    x = 24,317.93

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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.