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Finding the Fourth Proportional to 77,075.40, 115,613.10 and 24,490.20

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Solution

The fourth proportional to 77,075.40, 115,613.10 and 24,490.20 is: 36,735.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,075.40 : 115,613.10 = 24,490.20 : x
  2. Step 2: Convert to fraction form
    77,075.40/115,613.10 = 24,490.20/x
  3. Step 3: Cross multiply
    77,075.40x = 115,613.10 × 24,490.20
  4. Step 4: Simplify right side
    77,075.40x = 2,831,387,941.62
  5. Step 5: Solve for x
    x = 2,831,387,941.62/77,075.40
  6. Step 6: Final answer
    x = 36,735.30

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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.