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Finding the Fourth Proportional to 39,142.16, 58,720.28 and 15,770

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Solution

The fourth proportional to 39,142.16, 58,720.28 and 15,770 is: 23,657.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,142.16 : 58,720.28 = 15,770 : x
  2. Step 2: Convert to fraction form
    39,142.16/58,720.28 = 15,770/x
  3. Step 3: Cross multiply
    39,142.16x = 58,720.28 × 15,770
  4. Step 4: Simplify right side
    39,142.16x = 926,018,815.60
  5. Step 5: Solve for x
    x = 926,018,815.60/39,142.16
  6. Step 6: Final answer
    x = 23,657.84

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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.