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Finding the Fourth Proportional to 32,510.75, 48,780.20 and 11,465.82

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Solution

The fourth proportional to 32,510.75, 48,780.20 and 11,465.82 is: 17,203.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,510.75 : 48,780.20 = 11,465.82 : x
  2. Step 2: Convert to fraction form
    32,510.75/48,780.20 = 11,465.82/x
  3. Step 3: Cross multiply
    32,510.75x = 48,780.20 × 11,465.82
  4. Step 4: Simplify right side
    32,510.75x = 559,304,992.76
  5. Step 5: Solve for x
    x = 559,304,992.76/32,510.75
  6. Step 6: Final answer
    x = 17,203.69

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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.