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Finding the Fourth Proportional to 75,787.64, 113,536.02 and 42,406.58

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Solution

The fourth proportional to 75,787.64, 113,536.02 and 42,406.58 is: 63,528.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,787.64 : 113,536.02 = 42,406.58 : x
  2. Step 2: Convert to fraction form
    75,787.64/113,536.02 = 42,406.58/x
  3. Step 3: Cross multiply
    75,787.64x = 113,536.02 × 42,406.58
  4. Step 4: Simplify right side
    75,787.64x = 4,814,674,315.01
  5. Step 5: Solve for x
    x = 4,814,674,315.01/75,787.64
  6. Step 6: Final answer
    x = 63,528.49

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