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Finding the Fourth Proportional to 37,860.16, 56,790.24 and 23,980

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Solution

The fourth proportional to 37,860.16, 56,790.24 and 23,980 is: 35,970

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,860.16 : 56,790.24 = 23,980 : x
  2. Step 2: Convert to fraction form
    37,860.16/56,790.24 = 23,980/x
  3. Step 3: Cross multiply
    37,860.16x = 56,790.24 × 23,980
  4. Step 4: Simplify right side
    37,860.16x = 1,361,829,955.20
  5. Step 5: Solve for x
    x = 1,361,829,955.20/37,860.16
  6. Step 6: Final answer
    x = 35,970

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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.