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Finding the Fourth Proportional to 78,038.50, 117,075.12 and 30,658.18

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Solution

The fourth proportional to 78,038.50, 117,075.12 and 30,658.18 is: 45,994.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,038.50 : 117,075.12 = 30,658.18 : x
  2. Step 2: Convert to fraction form
    78,038.50/117,075.12 = 30,658.18/x
  3. Step 3: Cross multiply
    78,038.50x = 117,075.12 × 30,658.18
  4. Step 4: Simplify right side
    78,038.50x = 3,589,310,102.48
  5. Step 5: Solve for x
    x = 3,589,310,102.48/78,038.50
  6. Step 6: Final answer
    x = 45,994.09

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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.