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Finding the Fourth Proportional to 42,567.88, 63,810.54 and 23,857

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Solution

The fourth proportional to 42,567.88, 63,810.54 and 23,857 is: 35,762.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,567.88 : 63,810.54 = 23,857 : x
  2. Step 2: Convert to fraction form
    42,567.88/63,810.54 = 23,857/x
  3. Step 3: Cross multiply
    42,567.88x = 63,810.54 × 23,857
  4. Step 4: Simplify right side
    42,567.88x = 1,522,328,052.78
  5. Step 5: Solve for x
    x = 1,522,328,052.78/42,567.88
  6. Step 6: Final answer
    x = 35,762.36

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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.