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Finding the Fourth Proportional to 32,134.47, 48,211.55 and 14,380.07

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Solution

The fourth proportional to 32,134.47, 48,211.55 and 14,380.07 is: 21,574.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,134.47 : 48,211.55 = 14,380.07 : x
  2. Step 2: Convert to fraction form
    32,134.47/48,211.55 = 14,380.07/x
  3. Step 3: Cross multiply
    32,134.47x = 48,211.55 × 14,380.07
  4. Step 4: Simplify right side
    32,134.47x = 693,285,271.38
  5. Step 5: Solve for x
    x = 693,285,271.38/32,134.47
  6. Step 6: Final answer
    x = 21,574.51

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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.