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Finding the Fourth Proportional to 42,741.84, 64,043.64 and 34,954.32

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Solution

The fourth proportional to 42,741.84, 64,043.64 and 34,954.32 is: 52,374.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,741.84 : 64,043.64 = 34,954.32 : x
  2. Step 2: Convert to fraction form
    42,741.84/64,043.64 = 34,954.32/x
  3. Step 3: Cross multiply
    42,741.84x = 64,043.64 × 34,954.32
  4. Step 4: Simplify right side
    42,741.84x = 2,238,601,886.52
  5. Step 5: Solve for x
    x = 2,238,601,886.52/42,741.84
  6. Step 6: Final answer
    x = 52,374.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.