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Finding the Fourth Proportional to 103,038.31, 142,191.21 and 57,716.14

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Solution

The fourth proportional to 103,038.31, 142,191.21 and 57,716.14 is: 79,647.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,038.31 : 142,191.21 = 57,716.14 : x
  2. Step 2: Convert to fraction form
    103,038.31/142,191.21 = 57,716.14/x
  3. Step 3: Cross multiply
    103,038.31x = 142,191.21 × 57,716.14
  4. Step 4: Simplify right side
    103,038.31x = 8,206,727,783.13
  5. Step 5: Solve for x
    x = 8,206,727,783.13/103,038.31
  6. Step 6: Final answer
    x = 79,647.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.