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Finding the Fourth Proportional to 55,271.34, 76,274.64 and 31,405.95

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Solution

The fourth proportional to 55,271.34, 76,274.64 and 31,405.95 is: 43,340.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,271.34 : 76,274.64 = 31,405.95 : x
  2. Step 2: Convert to fraction form
    55,271.34/76,274.64 = 31,405.95/x
  3. Step 3: Cross multiply
    55,271.34x = 76,274.64 × 31,405.95
  4. Step 4: Simplify right side
    55,271.34x = 2,395,477,530.11
  5. Step 5: Solve for x
    x = 2,395,477,530.11/55,271.34
  6. Step 6: Final answer
    x = 43,340.32

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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.