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Finding the Fourth Proportional to 75,687.50, 104,452.02 and 42,153.50

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Solution

The fourth proportional to 75,687.50, 104,452.02 and 42,153.50 is: 58,173.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,687.50 : 104,452.02 = 42,153.50 : x
  2. Step 2: Convert to fraction form
    75,687.50/104,452.02 = 42,153.50/x
  3. Step 3: Cross multiply
    75,687.50x = 104,452.02 × 42,153.50
  4. Step 4: Simplify right side
    75,687.50x = 4,403,018,225.07
  5. Step 5: Solve for x
    x = 4,403,018,225.07/75,687.50
  6. Step 6: Final answer
    x = 58,173.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.