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Finding the Fourth Proportional to 77,153.93, 106,482.22 and 43,164.30

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Solution

The fourth proportional to 77,153.93, 106,482.22 and 43,164.30 is: 59,572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,153.93 : 106,482.22 = 43,164.30 : x
  2. Step 2: Convert to fraction form
    77,153.93/106,482.22 = 43,164.30/x
  3. Step 3: Cross multiply
    77,153.93x = 106,482.22 × 43,164.30
  4. Step 4: Simplify right side
    77,153.93x = 4,596,230,380.84
  5. Step 5: Solve for x
    x = 4,596,230,380.84/77,153.93
  6. Step 6: Final answer
    x = 59,572.22

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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.