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Finding the Fourth Proportional to 75,526, 104,212.27 and 42,820.53

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Solution

The fourth proportional to 75,526, 104,212.27 and 42,820.53 is: 59,084.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,526 : 104,212.27 = 42,820.53 : x
  2. Step 2: Convert to fraction form
    75,526/104,212.27 = 42,820.53/x
  3. Step 3: Cross multiply
    75,526x = 104,212.27 × 42,820.53
  4. Step 4: Simplify right side
    75,526x = 4,462,424,419.80
  5. Step 5: Solve for x
    x = 4,462,424,419.80/75,526
  6. Step 6: Final answer
    x = 59,084.61

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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.