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Finding the Fourth Proportional to 42,675.84, 64,045.20 and 34,454.16

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Solution

The fourth proportional to 42,675.84, 64,045.20 and 34,454.16 is: 51,706.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,675.84 : 64,045.20 = 34,454.16 : x
  2. Step 2: Convert to fraction form
    42,675.84/64,045.20 = 34,454.16/x
  3. Step 3: Cross multiply
    42,675.84x = 64,045.20 × 34,454.16
  4. Step 4: Simplify right side
    42,675.84x = 2,206,623,568.03
  5. Step 5: Solve for x
    x = 2,206,623,568.03/42,675.84
  6. Step 6: Final answer
    x = 51,706.62

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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.