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Finding the Fourth Proportional to 42,666.50, 64,000.67 and 13,083.68

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Solution

The fourth proportional to 42,666.50, 64,000.67 and 13,083.68 is: 19,625.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,666.50 : 64,000.67 = 13,083.68 : x
  2. Step 2: Convert to fraction form
    42,666.50/64,000.67 = 13,083.68/x
  3. Step 3: Cross multiply
    42,666.50x = 64,000.67 × 13,083.68
  4. Step 4: Simplify right side
    42,666.50x = 837,364,286.07
  5. Step 5: Solve for x
    x = 837,364,286.07/42,666.50
  6. Step 6: Final answer
    x = 19,625.80

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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.