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Finding the Fourth Proportional to 84,811.76, 117,043.48 and 46,574.50

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Solution

The fourth proportional to 84,811.76, 117,043.48 and 46,574.50 is: 64,274.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,811.76 : 117,043.48 = 46,574.50 : x
  2. Step 2: Convert to fraction form
    84,811.76/117,043.48 = 46,574.50/x
  3. Step 3: Cross multiply
    84,811.76x = 117,043.48 × 46,574.50
  4. Step 4: Simplify right side
    84,811.76x = 5,451,241,559.26
  5. Step 5: Solve for x
    x = 5,451,241,559.26/84,811.76
  6. Step 6: Final answer
    x = 64,274.60

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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.