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Finding the Fourth Proportional to 76,402, 105,435.57 and 42,868

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Solution

The fourth proportional to 76,402, 105,435.57 and 42,868 is: 59,158.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,402 : 105,435.57 = 42,868 : x
  2. Step 2: Convert to fraction form
    76,402/105,435.57 = 42,868/x
  3. Step 3: Cross multiply
    76,402x = 105,435.57 × 42,868
  4. Step 4: Simplify right side
    76,402x = 4,519,812,014.76
  5. Step 5: Solve for x
    x = 4,519,812,014.76/76,402
  6. Step 6: Final answer
    x = 59,158.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.