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Finding the Fourth Proportional to 53,195.54, 73,409.86 and 29,322.74

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Solution

The fourth proportional to 53,195.54, 73,409.86 and 29,322.74 is: 40,465.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,195.54 : 73,409.86 = 29,322.74 : x
  2. Step 2: Convert to fraction form
    53,195.54/73,409.86 = 29,322.74/x
  3. Step 3: Cross multiply
    53,195.54x = 73,409.86 × 29,322.74
  4. Step 4: Simplify right side
    53,195.54x = 2,152,577,724.55
  5. Step 5: Solve for x
    x = 2,152,577,724.55/53,195.54
  6. Step 6: Final answer
    x = 40,465.38

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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.