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Finding the Fourth Proportional to 78,398.50, 117,560.71 and 30,389.59

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Solution

The fourth proportional to 78,398.50, 117,560.71 and 30,389.59 is: 45,570.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,398.50 : 117,560.71 = 30,389.59 : x
  2. Step 2: Convert to fraction form
    78,398.50/117,560.71 = 30,389.59/x
  3. Step 3: Cross multiply
    78,398.50x = 117,560.71 × 30,389.59
  4. Step 4: Simplify right side
    78,398.50x = 3,572,621,625.06
  5. Step 5: Solve for x
    x = 3,572,621,625.06/78,398.50
  6. Step 6: Final answer
    x = 45,570.03

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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.