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Finding the Fourth Proportional to 42,809.38, 64,223.82 and 23,087.50

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Solution

The fourth proportional to 42,809.38, 64,223.82 and 23,087.50 is: 34,636.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,809.38 : 64,223.82 = 23,087.50 : x
  2. Step 2: Convert to fraction form
    42,809.38/64,223.82 = 23,087.50/x
  3. Step 3: Cross multiply
    42,809.38x = 64,223.82 × 23,087.50
  4. Step 4: Simplify right side
    42,809.38x = 1,482,767,283.69
  5. Step 5: Solve for x
    x = 1,482,767,283.69/42,809.38
  6. Step 6: Final answer
    x = 34,636.51

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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.