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Finding the Fourth Proportional to 70,504.84, 97,296.42 and 43,642

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Solution

The fourth proportional to 70,504.84, 97,296.42 and 43,642 is: 60,225.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,504.84 : 97,296.42 = 43,642 : x
  2. Step 2: Convert to fraction form
    70,504.84/97,296.42 = 43,642/x
  3. Step 3: Cross multiply
    70,504.84x = 97,296.42 × 43,642
  4. Step 4: Simplify right side
    70,504.84x = 4,246,210,361.64
  5. Step 5: Solve for x
    x = 4,246,210,361.64/70,504.84
  6. Step 6: Final answer
    x = 60,225.80

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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.