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Finding the Fourth Proportional to 59,752, 89,644.24 and 18,199.04

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Solution

The fourth proportional to 59,752, 89,644.24 and 18,199.04 is: 27,303.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,752 : 89,644.24 = 18,199.04 : x
  2. Step 2: Convert to fraction form
    59,752/89,644.24 = 18,199.04/x
  3. Step 3: Cross multiply
    59,752x = 89,644.24 × 18,199.04
  4. Step 4: Simplify right side
    59,752x = 1,631,439,109.53
  5. Step 5: Solve for x
    x = 1,631,439,109.53/59,752
  6. Step 6: Final answer
    x = 27,303.51

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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.