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Finding the Fourth Proportional to 35,532, 49,035.74 and 20,429.56

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Solution

The fourth proportional to 35,532, 49,035.74 and 20,429.56 is: 28,193.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,532 : 49,035.74 = 20,429.56 : x
  2. Step 2: Convert to fraction form
    35,532/49,035.74 = 20,429.56/x
  3. Step 3: Cross multiply
    35,532x = 49,035.74 × 20,429.56
  4. Step 4: Simplify right side
    35,532x = 1,001,778,592.47
  5. Step 5: Solve for x
    x = 1,001,778,592.47/35,532
  6. Step 6: Final answer
    x = 28,193.70

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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.