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Finding the Fourth Proportional to 35,641.50, 49,173.24 and 20,533.76

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Solution

The fourth proportional to 35,641.50, 49,173.24 and 20,533.76 is: 28,329.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,641.50 : 49,173.24 = 20,533.76 : x
  2. Step 2: Convert to fraction form
    35,641.50/49,173.24 = 20,533.76/x
  3. Step 3: Cross multiply
    35,641.50x = 49,173.24 × 20,533.76
  4. Step 4: Simplify right side
    35,641.50x = 1,009,711,631.52
  5. Step 5: Solve for x
    x = 1,009,711,631.52/35,641.50
  6. Step 6: Final answer
    x = 28,329.66

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