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Finding the Fourth Proportional to 32,603.62, 48,908.67 and 11,828.74

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Solution

The fourth proportional to 32,603.62, 48,908.67 and 11,828.74 is: 17,744.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,603.62 : 48,908.67 = 11,828.74 : x
  2. Step 2: Convert to fraction form
    32,603.62/48,908.67 = 11,828.74/x
  3. Step 3: Cross multiply
    32,603.62x = 48,908.67 × 11,828.74
  4. Step 4: Simplify right side
    32,603.62x = 578,527,941.18
  5. Step 5: Solve for x
    x = 578,527,941.18/32,603.62
  6. Step 6: Final answer
    x = 17,744.29

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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.