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Finding the Fourth Proportional to 77,395.97, 106,800.22 and 42,941.81

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Solution

The fourth proportional to 77,395.97, 106,800.22 and 42,941.81 is: 59,256.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,395.97 : 106,800.22 = 42,941.81 : x
  2. Step 2: Convert to fraction form
    77,395.97/106,800.22 = 42,941.81/x
  3. Step 3: Cross multiply
    77,395.97x = 106,800.22 × 42,941.81
  4. Step 4: Simplify right side
    77,395.97x = 4,586,195,075.88
  5. Step 5: Solve for x
    x = 4,586,195,075.88/77,395.97
  6. Step 6: Final answer
    x = 59,256.25

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1.5x scale

Why These Related Problems?

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